Question

Question 6: Find the area of a sector with a central angle of 170 degrees and a radius of 17 millimeters. Round to the nearest tenth.

Answer 1

The area is 428.9 millimeters square

Mathematically, the formula to find the area of a sector with a central angle is ;

$A\text{ = }\frac{\theta}{360}\text{ }\times\text{ }\pi\text{ }\times r^2$

where theta is the angle subtended at the centre of the circle which is 170 degrees, pi is 22/7 and r is the radius of the circle which is 17 mm

$\begin{gathered} A\text{ = }\frac{170}{360}\text{ }\times\frac{22}{7\text{ }}\text{ }\times17^2 \\ \\ A\text{ = }\frac{1080860}{2520}=428.9mm^2 \end{gathered}$