dugg5361
24.04.2020 •
Mathematics
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.
Solved
Show answers
More tips
- S Sport How to Do a Jumping Split...
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
Answers on questions: Mathematics
- M Mathematics On the right side of a balance there are two birds that each way 12 ounces. On the left side, there s a bird that weighs 14 ounces in a bird with an unknown wait...
- S Social Studies The name given to the leader of Ancient Egypt. These men and women were believed to have divine right, or were godlike while ruling. A sultan B pharaoh С vizier...
Ответ:
9 m²
Step-by-step explanation:
The area (A) of a sector of a circle is
A = area of circle × fraction of circle
= 72 ×
= 72 ×
= 9 m²
Ответ: