1. 1. Given a central angle of 110° and a radius of 2.5 cm, find the length of the intercepted arc. Round your answer to the nearest tenth.
2. Find the radius of a circle with a central angle of 3pi/5 radians and the length of the intercepted arc equal to 6.9 cm. Round your answer to the nearest tenth.
3. Find the area of a sector with a central angle of 2pi/3 radians and a radius equal to 3.4 inches. Round your answer to the nearest tenth.
4. Find the measure of the central angle, in radians, given the area of the sector as
22.6 cm2 and a radius equal to 3.7 cm. Round your answer to the nearest tenth.
, find the length of the intercepted arc. Round your answer to the nearest tenth.
2. Find the radius of a circle with a central angle of 3pi/5 radians and the length of the intercepted arc equal to 6.9 cm. Round your answer to the nearest tenth.
3. Find the area of a sector with a central angle of 2pi/3 radians and a radius equal to 3.4 inches. Round your answer to the nearest tenth.
4. Find the measure of the central angle, in radians, given the area of the sector as
22.6 cm2 and a radius equal to 3.7 cm. Round your answer to the nearest tenth.
Answers & Comments
Verified answer
arc length = radius length * angle in radians
1. arc length = 2.5 cm * 110* pi/180
2. r = arc/ang = 6.9 /(3 pi/5)
area of a sector = pi r^2 * ang/(2 pi) = r^2 * ang/2
3. area = (3.5)^2 (2 pi/3)/2 = (3.5)^2 (pi/3)
you get the idea.
Arc length = ør therefore arc length = 4 cm ø = ?/2 plug those into the formula 4 = (?/2) r Multiply both area by technique of two/? 8/? = r The radius is 8/? cm you only upload cm to the large type from the calculator. m04162013
1/ 110(pi)(2.5)/180 = 4.80cm
3/ Area = (1/2)(2pi/3)(3.4)^2 = 12.1 inches2