Question

if the perimater of a circle is equal to its area numerically what is the measurement of radius?

plz ans for 3 marks​

Answer 1

Answer:

As we know that,

Perimeter of circle =2πr

Area of circle =πr

2

Given that the perimeter and area of circle are numerically equal.

Therefore,

πr

2

=2πr

r

2

−2r=0

r(r−2)

⇒r=0 or r=2

Answer 2

Given:

Perimeter of a circle=Area of a circle

To Find:

measurement of a radius (r) =?

Formulae:

1) Perimeter of a circle=2πr

2) Area of a circle= πr²

Solution:

As per the given condition,

Area of a circle=Perimeter of a circle

πr²=2πr

r²=2πr/π

r²=2r

r²-2r=0

r(r-2) =0

r=0 or (r-2) =0

r=0 or r=2

Therefore,

The radius of the circle is 0 or 2