Unit 7 Exam: Circles

A point in the exterior of a circle is 15 units away from the point of tangency and 17 units away from the center of the circle. What is the radius of the circle?

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The radius of a circle measures 12 cm. What is the circumference of the circle in terms of π? Do not include the units in your answer.

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The radius of a circle measures 12 cm. What is the area of the circle in terms of π?

Do not include the units in your answer.

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The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB? (a)  

• 25 degrees
• 40 degrees
• 50 degrees
• 100 degrees

The image shows a quadrilateral inscribed in a circle. Drag all the true statements to the blanks.

True statement 1 about the arcs​ (a)  

True statement 2 about the angles​ (b)  

True statement 3 about the quadrilateral​ ​ (c)  

• The arc from A to C passing through D equals 200˚
• Angle D equals 80˚
• The quadrilateral is cyclic.
• Angle CDA measures 100˚
• The arc from A to C passing through D equals 100˚
• The quadrilateral is a parallelogram.

Match the following radian measure and degree measures.

• 36˚

• 22.5

• ≈57.3˚

• 20˚

• 60˚

• 1 radian

Find the length of the highlighted arc from

point A to point B . Write your answer in terms of π, do not include the units.

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Find the area of the shaded region of the circle. The radius is given in inches. Write your answer in terms of π, do not include the units.

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What is the sum of the measure of angle a and angle c, in degrees? Enter the numeric value only.

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The radius of the circle is 5 units. Each tangent segment is 12 units. What is the measure of angle w in degrees? Round to the nearest whole number.

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