MATH SOLVE

2 months ago

Q:
# In a circle, a 270 sector has area 675pie in^2. What is the radius of the circle ?

Accepted Solution

A:

Area of sector = pi r^2 β’ angle/360

Pi r^2β’ 270/360 = 675pi ( cancel pi on both sides)

R^2 β’3/4 = 675

R^2 = 675 β’ 4/3

R^2 = 900

R = square root of 900

R= 30

The radius is 30

Pi r^2β’ 270/360 = 675pi ( cancel pi on both sides)

R^2 β’3/4 = 675

R^2 = 675 β’ 4/3

R^2 = 900

R = square root of 900

R= 30

The radius is 30