ACT Math - Circles

In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?

• 12π

• 16π

• 32π

• 36π

• 40π

In the following figure, the square ABCD is inscribed in the circle centered at point O. What is the area of the circle?

• π/4

• 3π/4

• 3π/2

• 9π/4

• 9π/2

Tags

CCSS.HSG.C.B.5

Which of the following expressions represents the circumference of a circle with a radius of x?

• 2x

• πx

• 2πx

• 4πx

• 4x

Tags

CCSS.7.G.B.4

In the following figure, the circles centered at points B and D are tangent at the point C, and each circle has an area of 49π. What is the length of the line segment AE?

• 14

• 28

• 42

• 48

• 56

Tags

CCSS.HSG.C.B.5

In square units, what is the area of a circle with a circumference of 6π?

• 3π

• 6π

• 9π

• 12π

• 36π

Tags

CCSS.7.G.B.4

The circles in the following figure are centered at point O. In square centimeters, what is the area of the shaded region?

• 15π

• 21π

• 32π

• 35π

• 60π

The area of a circle is 8π square units. What is the radius of the circle?

• 2√2

• 4

• 4√2

• 8

• 12

Tags

CCSS.7.G.B.4

In the following figure, the area of square ABCD is 16 square units. What is the circumference of the circle centered at point B?

• 2π

• 4π

• 8π

• 16π

• 32π

Tags

CCSS.7.G.B.4

A chord 32 centimeters long is 6 centimeters from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of a centimeter?

• 5.3

• 13.9

• 17.1

• 26.0

• 38.0

Tags

CCSS.HSG.C.A.2

• A

• B

• C

• D

• E

Tags

CCSS.7.G.B.4