Question

How will the area change when radius is diminished by 10%.please give couple answer with full explanation.

Answer 1

Answer:

19%

Step-by-step explanation:

Given:

radius is diminished by 10%.

To Find:

Area percentage = ?

Solution:

Let the radius of the circle be r.

Then area of circle = πr²

Given that radius of the circle is diminished by 10%.

Hence the new radius = r - (10% of r)

==> 90% of r

==> (9r/10)

Area of the new circle = π(9r/10)² = 81πr²/100

Change in area = πr²- (81πr²/100)

==> 19πr²/100

Percentage of area diminished = {[(19πr²/100)] / πr²} * 100

==> 19%

Result:

Area is diminished by 19%