Circles
Area
Circumference
Vocab
Theorems
100
Definition of a Radius
What is a straight line from the center to the circumference of a circle or sphere.
100

Find the area of a circle with a radius 3cm.

28.27

100

what is the circumference of a circle with a radius of 21 cm

131.95

100

What is a semicircle

A semicircle is an arc whose endpoints are the endpoints of a diameter. It has a measure of 18

100

What is Theorem 1

 If two lines intersect, then they intersect in exactly one point.

200
A line segment whose endpoints both lie on the circle
What is chord
200

Find the area of a circle with radius 50

7853.98

200

What is the circumference of a circle with a radius of 66.78

419.59

200

What is a Central Angle


An angle whose vertex is the center of a circle

200

What is theorem 2

If two angles subtended at the center by two chords are equal, then the chords are of equal length.



300
Given a diameter of 9cm, find the radius
What is 4.5cm
300

Find the area of a circle with radius 27

2290.22

300

Find the circumference of a circle that has a radius of 1/2

pie

300

What is A minor arc

It has a measure that is less than 180

300

What is theorem 3

Equal chords of a circle are equidistant (equal distance) from the centre of the circle

400
The part of the circle that is double the radius
What is a diameter
400

We are given a circle with an area of 314in. Find the radius of the circle. Take π as 3.14.


10in

400

If a circle has an area of 81pie, what is the circle's circumference?

18pie

400

What is a cord

 the line segment joining two points on a curve

400

What is theorem 4

The opposite angles in a cyclic quadrilateral add up to In plain terms

500
Given the circle with Radius (2x+5)meters, state the area
What is (4x2+20x+25)pie
500

To cover a distance of 10 km, a wheel rotates 5000 times. Find the radius of the wheel.


r = 31.82 cm

500

If a circle has an area of 16pie^2, what is the circumference?

8pie

500

what is a tangent line 

it is a differentiable curve at a point where the slope of the curve equals the slope of a line  

500

What is theorem 5

The perpendicular to a chord bisects the chord if drawn from the centre of the circle.



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