Question

X is a circle of area square cm. If the circumference of this circle is reduced to 1/4 of the original circumference, then what is its area in square cm. will remain

Answer 1

Answer:

Let radius of circle is r cm

Then circumference of circle =2πr

And area of circle= πr

2

If circumference of circle reduced 50%

Then new circumference of circle =2πr×

100

50

=πr

So radius of new circle =

2

r

And are of new circle=π(

2

r

2

)=π(

4

r

2

)

Then reduced in area =πr

2

−

4

πr

2

=3πr

2

So % reduced in area =

πr

2

3πr

2

×100=75 %

If you like my answer please mark me as BRAINLIEST