Question

In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

Answer 1

The degree measure of the arc of the sector is
`45.85 degrees\\`

Explanation:

The area of a sector is given by

`(n)/(360) \pi r^(2)\\`

Substituting the values in above equation, we get

`40 = (n)/(360) (3.14)10^2\\n = 45.85\\`

Answer 2

the main formula is

sector area = n / 360° x Pi r²

4 = n / 360 x r² = n° / 36,

144° = n