Question

if the circumfrecnce and area of a circle are numerically equal than find the diameterand areaof the cicle​

Answer 1

Answer:

The circumference of the circle = 2(pi)r

Area of the circle = (pi)r^2

Given,

(pi)r^2 = 2(pi)r

r^2 = (2 × pi × r)/pi

r^2 = 2r

r^2/r = 2

r = 2

Therefore, radius of the circle = 2 units

now, diameter = 2r = 2 × 2 = 4 units

Answer 2

Step-by-step explanation:Circumference of circle is 2×22/7×r.

Area of circle is 22/7×r×r.

According to the question,

2×22/7×r = 22/7×r×r.

22/7×r cancels out.

So, r = 2 i.e. 2 unit.

Therefore, Diameter of circle is2×r = 2×2 unit = 4 unit, and area is 22/7×r×r sq. unit = 22/7×2×2 sq. unit = 88/7 sq. unit.