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?

Mathematical Equivalence

ON

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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ON

Tags

CCSS.7.G.B.4

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.

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

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

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CCSS.HSG.C.A.2

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.

Tags

CCSS.HSG.C.A.2

Match the following radian measure and degree measures.

• 20˚

• 22.5

• 60˚

• ≈57.3˚

• 36˚

• 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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Tags

CCSS.HSG.C.B.5

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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Tags

CCSS.HSG.C.B.5

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

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CCSS.HSG.C.A.2

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.

Mathematical Equivalence

ON