A circular sector has radius cm and a central angle of .
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A circular sector has radius 7cm and a central angle of 150∘.
(i) Convert the central angle to radians, expressing the answer as an exact multiple of π.
(ii) Find the length of the arc of the sector.
(iii) Calculate the area of the sector.
(iv) Keeping the area found in part (iii) unchanged, the central angle is altered to 2.5 radians. Determine the new radius of the sector, correct to one decimal place.