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

Answer:

The degree measure of the arc of the sector is $45.85 degrees$

Step-by-step explanation:

The area of a sector is given by

$\frac{n}{360} \pi r^{2}$

Substituting the values in above equation, we get

$40 = \frac{n}{360} (3.14)10^2\\n = 45.85$

Answer 2

The main formula is 

sector area = n / 360°  x Pi r²

4 = n / 360  x  r² = n° / 36,  

144° = n