Question

The circumference of a circle is 10π. Find the radius and area of circle.

Answer 1

Step-by-step explanation:

• Here, Circumference of circle = 10π
• 2πr = 10π
• r = Radius
• So, Radius = 10π/2π = 5cm
• And, Area of circle = πr^2 = 22/7 * 5*5 = 22*25/7 = 78.6 cm^2 (approx.)

Answer 2

Step-by-step explanation:

Given:-

The circumference of a circle is 10π

To find:-

Find the radius and area of circle.

Solution:-

Let the radius of the circle is 'r' units

The circumference of a circle of the radius 'r' units is 2πr units

According to the given problem

Circumference of the given circle = 10π

=> 2πr = 10π

=>2r = 10π/π

=>r = 10/2

=>r = 5 units

Radius of the given Circle = 5 units

Area of a circle = πr^2 sq.units.

Area of the given circle = π(5)^2 sq.units

=>25π sq.units

(or)

=>25×22/7

=>550/7

=>78.57 sq.units

Answer:-

Radius of the circle = 5 units

Area of the circle = 25 π (or) 78.57 sq.units

Used formulae:-

• The circumference of a circle of the radius 'r' units is 2πr units.
• Area of a circle = πr^2 sq.units.

Where ,r is the radius and π=22/7