Circles Unit Assessment

A circle has a radius of 20 centimeters and a central angle that measures 216 degrees. Find the length of the arc defined by this central angle.

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Tags

HSG-C.B

Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

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HSG-C.B.5

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HSG-C.B.5

The radius of the circle is 4 cm.

What is the area of the circle?

• 16∏ square cm.

• 4∏ square cm.

• 8∏ square cm.

Fill in the blanks to complete the statement:
In the circle, the diameter is ​ ​ (a)   inches and the radius is ​ ​ (b)   inches.

• 28

• 3.5

• 14

• 7

Drag and Drop: Match the correct parts of a circle.

c

d

e

f

b

a

chord

center

tangent

diameter

secant

radius

To find the radius, ​ (a)   the diameter by 2.

• divide

• multiply

Match the term to the correct image.

d

e

f

b

a

c

g

semicircle

diameter

arc

secant

chord

tangent

radius

Give the diameter of the circle in feet.

Mathematical Equivalence

ON

A group of students created a circle during a game. The circumference of the circle was about 78.5 feet, and the diameter of the circle was 25 feet. Label the ratio that best represents the value of pi.

a

b

78.5

25