Question

Find the radius of a circle whose perimeter and area and numerical equal

Answer 1

Answer:

⇒ $r = 2$ units.

Step-by-step explanation:

Given :

To find the radius of the circle, whose circumference & area are numerically equal ,.

Solution :

We know that,

Circumference of the circle = 2πr units. (where $\pi=\frac{22}{7}$, r is the radius of the circle)

Area of the circle = πr² sq.units (where $\pi=\frac{22}{7}$, r is the radius of the circle)

As it is given that,

To find the radius of the circle, whose circumference & area are numerically equal,.

⇒ $\pi r^2 = 2\pi r$

⇒ $\frac{\pi r^2}{\pi r} = 2$

⇒ $r = 2$ units.

Answer 2

$\mathfrak{The\ radius\ is\ 2\ units}$

Right question-

Find the radius of a circle whose perimeter and area are numerically equal.

Step-by-step explanation:

Circumference

The length of the line, by which the circle is made or you can say that, if you cut out a circle, you'll get a line, that line is the circumference of the circle.

So, we know, that the perimeter of a circle is the circumference of the circle. And the formula for that is

$\bf 2\pi r$

where,

π=22/7(unless the value is mentioned)

r= radius of the circle

Area

The area is the extend of a two-dimentional object which becomes volume when it comes to a three-dimentional figure.

The formula for area of a circle is

$\bf \pi r^2$

Where,

π=22/7(unless the value is given)

r= radius of the circle

So, lets get into our question

Given,

Circumference of the circle=Area of the circle

Putting values in the equation

$2\pi r=\pi r^2\\ 2r=r^2\\ \therefore\ r=2 units$