Area of a sector of a circle?
The area of a sector of a circle with a central angle of 60° is 14 yd2. Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.
Thank you for your help! :)
- Anonymous5 years agoFavorite Answer
A complete circle has three hundred sixty degrees, so a sixty degree angle sector has area that is one-sixth the area of a full circle.
Area of circle: A = Pi*r^2
Area of sector: S = A/6 = (Pi/6)r^2
solve the last equation for r:
r = sqrt(6S/Pi)
put the value of 14 in for S and do the calculation on your calculator app. answer will be in units of yards.
- Jay BeLv 55 years ago
You simply multiply the area of the circle inversely times the portion of the circle it is.
360/60 = 6
6 * 14 = 84
- ThomasLv 75 years ago
- alexLv 75 years ago
(pi/6)r^2=14 --->r = ...