Question

3) The radius of circle is 11 miles. What is the area of a sector bounded by a 300° arc?

Answer 1

Answer:

$Area = 316.6 mi^2$

Step-by-step explanation:

Given:

Angle of arc = 300°

Radius of circle = 11 miles

Take π as 3.14

Required:

Area of the major sector

Solution:

Area of sector is given as: angle of arc/360*πr²

Thus,

$Area = \frac{300}{360}*3.14*11^2$

$Area = 316.616667$

$Area = 316.6 mi^2$ (rounded to the nearest tenth)