how to solve this

Question

the area of a cirlce with angle 45 degree is 5 square feet. Find the radius of the circle. if your computation involves pi, use pi=3.14159. round 2 decimal places.

Answer 1

I think you mean sector.

360/45=8 sectors of area 5 sq ft each

The area of the circle is 8*5=40 sq ft

A=pi*r^2

40=3.14159*r^2

40/3.14159=r^2

12.7324=r^2

take the square root of each side

r=3.568249 feet

r=3.57 feet

Answer 2

Area of a circle (A) = πr²

A = 5;

π = 3.14159

 

we'd have

 

5 = (3.14159)r²

 

r² =      5      

        3.14159

 

r² = 1.5916

 

r = √(1.5916)

 

r = 1.2616

 

Rounding to 2 decimal places, we'd have

 

r = 1.30