Question

the radius of circle is decreased by 50% ,its area is redus by​

Answer 1

Let the radius of circle be of 2a units.

From the properties of circle : -

• Area of circle = πr^2, where r represents the radius of circle and numeric value of π is 22 / 7 or 3.14.

Thus,

= > Area of circle = πr^2

= > Area of circle = π( 2a )^2

= > Area of circle = π x 4a^2

= > Area of circle = 4πa^2. ...( i )

When the radius of circle is decreased by 50% : -

= > New radius = 50% of original

= > New radius = 50% x 2a

= > New radius = 50 / 100 x 2a

= > New radius = 1 / 2 x 2a

= > New radius = a

Thus,

= > Area of circle with new radius = πa^2.

Therefore,

= > Area is decreased by 100% - ( πa^2 / 4πa^2 x 100 ) % i.e. 75%.

Hence the area is decreased by 75%.$\:$

Answer 2

Answer:

Step-by-step explanation:

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