3.16 Unit Test: Circles - Part 1 (K12 Geom)

This figure shows circle O with diameter QS . mRSQ=290∘ What is the measure of ∠ROQ ? https://static.k12.com/nextgen_media/assets/8093692-NG_GMT_SemB_10_UT_15.png

70

A circle has a radius of 6 ft. What is the area of the sector formed by a central angle measuring 5π3 radians? Use 3.14 for pi.

94.2

Chord AC intersects chord BD at point P in circle Z. AP=3.5 in. DP=4 in. PC=6 in. What is BP ? https://static.k12.com/nextgen_media/assets/8104492-NG_GMT_DP100_902_001.jpg

5.25in

A circle has a radius of 6 in. What is the exact length of an arc formed by a central angle measuring 45°? Enter your answer in the box. Express your answer using π .

1.5pi

Quadrilateral ABCD is inscribed in circle O . What is ​ m∠B ​ ? https://static.k12.com/nextgen_media/assets/8093698-NG_GMT_SemB_10_UT_09.png ​

125

This figure shows circle O with chords AC and BD . ​ mAB=34∘ mCD=34∘ AP=6 m ​ PC=8 m What is BD ? https://static.k12.com/nextgen_media/assets/8104495-NG_GMT_%20DP100_897_002.jpg

14m

What is the length of YX¯¯¯¯¯¯ ? Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth .https://static.k12.com/nextgen_media/assets/8107298-NG_GMT_SemB_10_UT_06.png

15.87

In the figure, YX−→− is a tangent to circle O at point X. mXB=52∘ mXA=104∘ What is the measure of ∠XYA ?https://static.k12.com/nextgen_media/assets/8093694-NG_GMT_SemB_10_UT_19.png

26

his figure shows circle C with diameter LM and inscribed ∠LMN . m∠LMN=32° What is the measure of LMN https://static.k12.com/nextgen_media/assets/8093722-NG_GMT_SemB_10_UT_18.png

296

Which explanation justifies how the area of a sector of a circle is derived? Find how many sector pieces fit in a circle. Divide this number by the total degrees in a circle. Then multiply the quotient by the diameter of the circle. Determine the percent of the sector of the circle divided by the degrees in a circle. Then find the number of triangles within a circle. Divide the two numbers and multiply by the area of the circle. The sector of a circle represents a part of a whole circle. Determine how many sections of the sectors will fit in the circle. Multiply this number by 180 and then multiply it by the area of the circle. The sector of a circle is a fractional part of the circle. Determine the fraction of the circle that the sector represents. Multiply this fraction by the area of the entire circle.

Answer: The sector of a circle is a fractional part of the circle. Determine the fraction of the circle that the sector represents. Multiply this fraction by the area of the entire circle.

AC←→ is tangent to the circle with center at B. The measure of ∠ACB is 71°. What is the measure of ∠ABC https://static.k12.com/nextgen_media/assets/8093723-NG_GMT_SemB_10_UT_03.png

m∠ABC=119