Measure Wedge

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

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HSG-C.B.5

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

The shaded wedge divides the circle into 10 equal-sized angles. What is the measure of the angle?

• 36°

• 50°

• 65°

• 72°

What is the measure, in degrees, of the angle drawn below?

• 74 degrees

• 66 degrees

• 126 degrees

• 114 degrees

Look at the labeled angle in this circle. What fraction of a turn around the circle does this angle represent?

What is the best estimate for the measure of the angle ?

• 150°

• 120°

• 95°

• 90°

The picture shows lines that cross inside a hexagon. The lines form 6 equal-size angles. The total measure of the 6 angles is 360°. What is the measure of each center angle?

• 60°

• 90°

• 300°

• 360°

Use the drawing. What is the measure of the angle represented by the shaded part of the circle?

• 45

• 80

• 100

• 215

Look at the circle. What is the measure of the angle represented by the shaded part of the circle?

• 40

• 220

• 120

• 240