Question

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

Answer 1

Area of sector = pi r^2 • angle/360

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

R^2 •3/4 = 675
R^2 = 675 • 4/3
R^2 = 900
R = square root of 900
R= 30
The radius is 30

Answer 2

The radius of Area of the sector of a Circle is 30.

What is Area of the sector of a Circle?

Area of the sector of a Circle is defined as "area of Circle is given as П times the square of its radius length".

According to the question,$\frac{270}{360}$

Area of the sector of a Circle = 675 pi

Angle of sector of a Circle = 270 degree.

In order to find Radius of sector of a circle,

Formula, Area of the sector of a Circle = θ/〖360〗^°   × 〖πr〗^2.

$\frac{270}{360}$ × r² × П = 675 pi ( Cancel 'pi' on both sides)

              r² = 900

              r = $\sqrt{900}$ = 30.

Hence, The radius of the Sector of a circle = 30.

To learn more about Area of the sector of a Circle here

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