Question

Area of a sector of central angle 90° of a circle is 4πcm².Then the radius of this circle is___ *​

Answer 1

Answer:

4 cm.

Step-by-step explanation:

We know that area of a sector = (θ/360) * πr²

∴ (θ/360) * πr² = 4π

⇒ 1/4 * r² = 4 [π gets canceled on both sides.]

⇒ r² = 16

∴ r = √16

     = 4

∴ Radius of the cirlce is 4 cm.

Hope this helps!