Circle Geometry Quest

Froggy Jumps

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About this activity

Circle basics and angles

Created by

Prince Chiagoziem Ani

Nigeria

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Froggy Jumps Circle Geometry QuestOnline version Circle basics and angles by Prince Chiagoziem Ani 1 What is the radius of a circle? a The length of the circle’s circumference b Half the diameter c Distance from the center to any point on the circle 2 What describes the diameter of a circle? a A line from the center to a point on the circle b A chord that passes through the center; equals twice the radius c The distance around the circle 3 Which formula gives the circumference of a circle? a Circumference = 2πr b Area = πr^2 c Diameter = πr 4 What is the area formula of a circle? a Area = πr^2 b Area = 2πr c Area = πd^2 5 An arc measuring 180 degrees forms what? a A full circle b A quadrant c A semicircle 6 Tangent line property at a circle? a Radius to the point of tangency is perpendicular to the tangent b Two radii form the tangent c Tangent is parallel to the radius 7 Inscribed angle theorem states what? a An inscribed angle equals the central angle b An inscribed angle is half the measure of its intercepted arc c The inscribed angle equals the arc length 8 Thales' theorem relates to which angle? a Angle in a semicircle is acute b Angle subtended by a diameter is a right angle c Angle inscribed in a circle is obtuse 9 Chord length relation to distance from center? a Chord length = r b Chord length = 2√(r^2 − d^2) where d is distance to center c Chord length = √(r^2 + d^2) 10 What is a tangent line in circle geometry? a A line that passes through the center b A line that intersects the circle at two points c A line that touches the circle at exactly one point 11 Angles in alternate segments are------------------ a Equal b Oppsite c

Froggy Jumps

Circle Geometry QuestOnline version

Circle basics and angles

by Prince Chiagoziem Ani

What is the radius of a circle?

The length of the circle’s circumference

Half the diameter

Distance from the center to any point on the circle

What describes the diameter of a circle?

A line from the center to a point on the circle

A chord that passes through the center; equals twice the radius

The distance around the circle

Which formula gives the circumference of a circle?

Circumference = 2πr

Area = πr^2

Diameter = πr

What is the area formula of a circle?

Area = πr^2

Area = 2πr

Area = πd^2

An arc measuring 180 degrees forms what?

A full circle

A quadrant

A semicircle

Tangent line property at a circle?

Radius to the point of tangency is perpendicular to the tangent

Two radii form the tangent

Tangent is parallel to the radius

Inscribed angle theorem states what?

An inscribed angle equals the central angle

An inscribed angle is half the measure of its intercepted arc

The inscribed angle equals the arc length

Thales' theorem relates to which angle?

Angle in a semicircle is acute

Angle subtended by a diameter is a right angle

Angle inscribed in a circle is obtuse

Chord length relation to distance from center?

Chord length = r

Chord length = 2√(r^2 − d^2) where d is distance to center

Chord length = √(r^2 + d^2)

What is a tangent line in circle geometry?

A line that passes through the center

A line that intersects the circle at two points

A line that touches the circle at exactly one point

Angles in alternate segments are------------------

Equal

Oppsite

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Circle Geometry Quest

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Circle Geometry QuestOnline version

by Prince Chiagoziem Ani

What is the radius of a circle?

What describes the diameter of a circle?

Which formula gives the circumference of a circle?

What is the area formula of a circle?

An arc measuring 180 degrees forms what?

Tangent line property at a circle?

Inscribed angle theorem states what?

Thales' theorem relates to which angle?

Chord length relation to distance from center?

What is a tangent line in circle geometry?

Angles in alternate segments are------------------

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