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Circles Mastery

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Circles Mastery

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About this activity

Radius, diameter, circumference, concentric circles

Created by

Aya Morsi
Aya Morsi
United Arab Emirates

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Circles Mastery
 

Circles MasteryOnline version

Radius, diameter, circumference, concentric circles

by Aya Morsi
1

What is the radius of a circle if the diameter is 10 units?

2

Which formula gives circumference from radius?

3

If diameter = 14 units, circumference using the diameter form is?

4

What is the relationship between diameter and radius?

5

Concentric circles share which of the following?

6

If the radius is 3 units, what is the circumference?

7

Diameter 12 units corresponds to which radius?

8

Which statement is true about concentric circles?

9

If radius = 10, what is circumference using 2πr?

10

True or False: The radius is always half of the diameter?

11

A chord of a circle intersects the circle at how many points?

12

What is the maximum number of intersection points two different circles can have?

13

If two chords of the same circle intersect, where is their intersection point?

14

The line from the center of a circle to the midpoint of a chord is what relative to the chord?

15

Can two concentric circles intersect?

16

How many points of intersection does a circle have with a tangent line?

17

If two chords are perpendicular, where can their intersection lie?

18

What is the minimum number of intersection points between two circles?

19

Do equal chords in a circle subtend equal central angles?

20

Two circles can intersect in at most how many points?

Feedback

Radius is half the diameter, since d = 2r.

Circumference C = 2πr for a circle with radius r.

Circumference can be written as C = πd; with d = 14, C = 14π.

Radius is half the diameter, so d = 2r.

Concentric circles have the same center but different radii.

C = 2πr = 2π(3) = 6π.

Radius r = d/2, so r = 6.

Concentric means same center, radii differ.

C = 2πr = 2π(10) = 20π.

Radius is always half the diameter: r = d/2.

A chord's endpoints lie on the circle, giving two intersection points.

Two circles can meet in at most two points.

Two chords intersect inside the circle unless they share endpoints.

Radius to the chord's midpoint is perpendicular to the chord.

Concentric circles share the same center but no intersection points.

A tangent touches the circle at exactly one point.

Perpendicular chords intersect inside the circle.

Disjoint circles have zero intersection points.

Equal chords subtend equal central angles.

Two circles can meet in two points at most.

 
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