A sector of a circle is bounded by two radii 7cm long and an arc…

A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.

Correct Answer: Option C

Explanation

Length of arc = (frac{theta}{360}) x 2(pi)r = 6
(theta) x 2(pi)r = 360 x 6
(theta) = (frac{360 times 6}{2pi r})
Area of the sector = (frac{theta}{360}) x (pi)r²
(frac{360 times 6}{2pi r}) x (frac{1}{360}) x (pi)r² = r
= 3 x 7
= 21cm²