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Froggy Jumps

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Test your knowledge on parallel, perpendicular, and orthogonal lines!

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YAKILI LMS

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Froggy Jumps Circle 1Online version Test your knowledge on parallel, perpendicular, and orthogonal lines! by YAKILI LMS 1 What defines a circle? a A polygon with equal sides. b A set of points equidistant from a center point. c A line segment connecting two points. 2 What is the radius of a circle? a The diameter divided by two. b The longest chord in the circle. c The distance from the center to any point on the circle. 3 What is a chord in a circle? a A tangent to the circle. b A line from the center to the edge. c A line segment with both endpoints on the circle. 4 What is the diameter of a circle? a A chord that passes through the center of the circle. b The distance between two points on the circumference. c The radius multiplied by two. 5 How is the diameter related to the radius? a The diameter is twice the length of the radius. b The diameter equals the radius squared. c The diameter is half the radius. 6 What is the formula for the circumference of a circle? a C = 2πr, where r is the radius. b C = r^2π. c C = πd, where d is the diameter. 7 Which of the following is NOT a property of a circle? a A circle has corners. b A circle has a center point. c A circle is round. 8 What is the longest chord in a circle? a Any random chord. b The radius. c The diameter. 9 What is the area of a circle formula? a A = r²π. b A = 2πr. c A = πr², where r is the radius. 10 What do you call a line that touches a circle at exactly one point? a A tangent. b A chord. c A secant. 11 What is the formula for the circumference of a circle? a C = 2πr b C = πr^2 c C = r^2/2 12 What does an arc represent in a circle? a A diameter b A radius c A portion of the circumference 13 What is a secant line? a A tangent line b A line that intersects a circle at two points c A line that touches the circle at one point 14 How do you calculate the length of an arc? a L = (θ/360) * C b L = C/θ c L = θ * r 15 What is the relationship between a secant and a tangent? a Both are the same b Both intersect at one point c A secant intersects at two points, a tangent at one. 16 If the radius of a circle is 5, what is the circumference? a 31.4 b 15.7 c 25 17 What is the central angle of a full circle? a 360 degrees b 180 degrees c 90 degrees 18 What is the term for the distance from the center to the edge of a circle? a Diameter b Radius c Circumference 19 What is the formula for the area of a sector? a A = πr^2 b A = (θ/360) * πr^2 c A = 2πr 20 What is the measure of a semicircle? a 90 degrees b 180 degrees c 360 degrees 21 What is a secant line in relation to a circle? a A line that is parallel to the radius. b A line that intersects the circle at two points. c A line that touches the circle at one point. 22 What is a tangent line? a A line that touches the circle at exactly one point. b A line that intersects the circle at two points. c A line that passes through the center of the circle. 23 What is the relationship between a tangent and a radius at the point of contact? a They form a 45-degree angle. b They are perpendicular to each other. c They are parallel to each other. 24 If a secant intersects a circle, how many points does it touch? a Two points. b One point. c Three points. 25 What is the power of a point theorem related to secants? a The square of the length of the tangent equals the product of the lengths of the secant segments. b The secant length is always longer than the tangent. c The tangent equals the sum of the secant segments. 26 What do you call the angle formed between a tangent and a chord through the point of contact? a The angle is always 90 degrees. b The angle is equal to the tangent angle. c The angle is equal to the angle in the alternate segment. 27 How does a secant line relate to the circle's diameter? a A secant cannot intersect the diameter. b A secant is always equal to the diameter. c A secant can be longer than the diameter. 28 What is the formula for the length of a secant segment? a Length = (Tangent)². b Length = (Internal segment) + (External segment). c Length = (External segment) × (Whole secant). 29 Which of the following statements is true about tangents? a A tangent can intersect the circle. b A tangent always passes through the center. c A tangent does not enter the circle. 30 What is the common point of a tangent and a circle called? a Point of intersection. b Point of secancy. c Point of tangency. 31 What is the formula for arc length in a circle? a Arc Length = rθ (in radians) b Arc Length = πr² c Arc Length = 2πr 32 How do you calculate the area of a sector? a Area = 0.5 * r² * θ (in radians) b Area = 2πr c Area = πr² 33 If θ is in degrees, how do you convert it for arc length? a Use θ as is b Multiply by 180/π c Convert to radians: θ (radians) = θ (degrees) × π/180 34 What does 'r' represent in the formulas? a The circumference of the circle b The radius of the circle c The diameter of the circle 35 If the radius is 5 and θ is π/3, what is the arc length? a Arc Length = (5)(π/3) = 5π/3 b 5/3 c 5π 36 What is the area of a sector with radius 4 and angle π/2? a Area = 0.5 * 4² * (π/2) = 8π b 8 c 4π 37 What unit is arc length typically measured in? a Degrees b Square units c Same unit as the radius (e.g., cm, m) 38 If a sector has an angle of 60 degrees, what is θ in radians? a θ = π/3 radians b π/2 c π/6 39 For a full circle, what is the area of the sector? a Area = πr² b 0.5πr² c 2πr 40 What is the relationship between arc length and radius? a Arc length is independent of radius. b Arc length increases with radius for a fixed angle. c Arc length decreases with radius. 41 What is a semicircle? a Half of a circle. b A quarter of a circle. c A full circle. 42 What defines a major arc? a An arc larger than a semicircle. b An arc equal to a semicircle. c An arc smaller than a semicircle. 43 What defines a minor arc? a An arc smaller than a semicircle. b An arc larger than a semicircle. c An arc equal to a semicircle. 44 How is the length of a semicircle calculated? a π times the diameter. b 2π times the radius. c π times the radius. 45 What is the measure of a semicircle in degrees? a 360 degrees. b 90 degrees. c 180 degrees. 46 Which arc is always longer in a circle? a The minor arc. b Both arcs are equal. c The major arc. 47 If a circle has a radius of 10, what is the length of its semicircle? a 15.7 units. b 20 units. c 31.4 units. 48 What is the central angle of a minor arc? a More than 180 degrees. b Exactly 180 degrees. c Less than 180 degrees. 49 What is the relationship between a semicircle and its diameter? a The diameter has no relation. b The diameter is the shortest chord. c The diameter is the longest chord of the semicircle. 50 Which of the following is true about a major arc? a It is measured by the larger angle at the center. b It cannot exist in a circle. c It is always equal to a minor arc.

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Froggy Jumps

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Circle 1Online version

by YAKILI LMS

What defines a circle?

What is the radius of a circle?

What is a chord in a circle?

What is the diameter of a circle?

How is the diameter related to the radius?

What is the formula for the circumference of a circle?

Which of the following is NOT a property of a circle?

What is the longest chord in a circle?

What is the area of a circle formula?

What do you call a line that touches a circle at exactly one point?

What is the formula for the circumference of a circle?

What does an arc represent in a circle?

What is a secant line?

How do you calculate the length of an arc?

What is the relationship between a secant and a tangent?

If the radius of a circle is 5, what is the circumference?

What is the central angle of a full circle?

What is the term for the distance from the center to the edge of a circle?

What is the formula for the area of a sector?

What is the measure of a semicircle?

What is a secant line in relation to a circle?

What is a tangent line?

What is the relationship between a tangent and a radius at the point of contact?

If a secant intersects a circle, how many points does it touch?

What is the power of a point theorem related to secants?

What do you call the angle formed between a tangent and a chord through the point of contact?

How does a secant line relate to the circle's diameter?

What is the formula for the length of a secant segment?

Which of the following statements is true about tangents?

What is the common point of a tangent and a circle called?

What is the formula for arc length in a circle?

How do you calculate the area of a sector?

If θ is in degrees, how do you convert it for arc length?

What does 'r' represent in the formulas?

If the radius is 5 and θ is π/3, what is the arc length?

What is the area of a sector with radius 4 and angle π/2?

What unit is arc length typically measured in?

If a sector has an angle of 60 degrees, what is θ in radians?

For a full circle, what is the area of the sector?

What is the relationship between arc length and radius?

What is a semicircle?

What defines a major arc?

What defines a minor arc?

How is the length of a semicircle calculated?

What is the measure of a semicircle in degrees?

Which arc is always longer in a circle?

If a circle has a radius of 10, what is the length of its semicircle?

What is the central angle of a minor arc?

What is the relationship between a semicircle and its diameter?

Which of the following is true about a major arc?