Question

The radius of a circle is greater than the radius of
the other circle by 3 m
The sum of there areas
is
89π m² .find the radius of the circle.​

Answer 1

Area of a circle =πr
2

Area of a circle of radius 3m=πr
2
=
7
22
​
×3
2

Area of a circle of radius 4m=πr
2
=
7
22
​
×4
2

Area of the circle, which is sum of the areas of circles of radius 3m and 4m=
7
22
​
×3
2
+
7
22
​
×4
2
=
7
22
​
×(9+16)=
7
22
​
×(25)
Let the radius of this circle be R.
πR
2
=
7
22
​
×(25)
=>R
2
=25
R=5


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