The corners of rectangle with length 4 and breadth 3 are on a circle find the area of the circle - Maths - Circles

Question

The corners of rectangle with length 4 and breadth 3 are on a
circle find the area of the circle

Neha Sethi · Accepted Answer

Given : length of rectangle l=4 unitsbreadth of rectangleb=3 units Now diagonal d of rectangle=l2+b2=42+32=16+9=5 unitsNow diagonal of rectangle =diameter of circle⇒diameter of circle=5 unitsSo, radius of circler=diameter of circle2=52Area of circle=πr2=3
14×2 5×2 5=19 625 sq  units
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The corners of rectangle with length 4 and breadth 3 are on a circle.find the area of the circle