31. The given figure has four circles. Each circle touches
the two other circles externally. Radius of the circle
with centre A = 7 cm, with centre B = 14 cm, with
centre C = 7 cm and with centre D = 14 cm. ABCD
represents a square. Find the area of shaded region.
(Use n = 22)
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Given:-
Radius of the circle with centre A=7cm, with centre B=14cm, with centre C= 7cm, and with centre D = 14 cm
To find = The area of shaded region.
Solution-
- Side of square = AB
- It is given that each circle touches the other two circles externally.
- Radius of 1st circle with cente A + radius of 2nd circle with centre B
...( as it is given that the ABCD represents the square.)
= 7 + 14 = 21cm
- Area of the square
= side * side
= (21) * (21)
= 144 cm^2
- *So the area of shaded region*
*= 144cm^2*
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