6.05 Unit Test: Arc Length and Sectors and Inscribed Angles
1) Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A? (∠C is 74 degrees. ∠A is across from ∠C)

2) Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? (∠A is (3x+6)degrees, ∠C is (x+2)degrees. ∠A is across from ∠C.

3) Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? (∠A is (2x+3)degrees, ∠B is (2x-4)degrees, ∠D is (3x+9)degrees)

4) What is the measure in degrees for the central angle of a circle whose radius is 8cm and intercepted arc length is 5.6 cm? Enter your answer in the box, round your answer to the nearest hundredth.

5) In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees. What is the length of the arc?
A) 6.28 ft
B) 9.42 ft
C) 18.84 ft
D) 28.26 ft

6) In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 324 degrees. What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.

7) The area of this circle is 72 πm².
What is the area of a 45° sector of this circle?
A) 8πm²
B) 9πm²
C) 12πm²
D) 18πm²

8) What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm? Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.

9) What is the area of a sector with a central angle of 131 degrees and a radius of 7.2 ft?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.