Question

Find the area of a circle whose area equals the half of the sum of the areas of two circles with radii 2 and 3.

Answer 1

(pi2^2+pi3^2)/2= area = 20.4203522483 …

Answer 2

The area of a circle is 20.41 units.

Explanation:

Formula

`Area\ of\ a\ circle = \pi r^(2)`

Where r is the radius of a circle.

As given

First take when the radius of a circle is 2 unit.

`\pi = 3.14`

radius = 2 units

Put in the formula

`Area\ of\ a\ circle = 3.14* 2* 2`

= 12.56 unit

Second take when the radius of a circle is 3 unit.

`\pi = 3.14`

radius = 3 units

Put in the formula

`Area\ of\ a\ circle = 3.14* 3* 3`

= 28.26 unit

As given

The area of a circle whose area equals the half of the sum of the areas of two circles with radii 2 and 3.

`Area\ of\ a\ circle = (Area\ of\ circle\ with\ radius\ 2units+Area\ of\ circle\ with\ radius\ 3units )/(2)`

Put the value in the above

`Area\ of\ a\ circle = (12.56 +28.26)/(2)`

`Area\ of\ a\ circle = (40.82)/(2)`

Area of a circle = 20.41 units

Therefore the area of a circle is 20.41 units.