Question

CHALLENGE FOR ALL MATH LOVING BRAINLIANS !!

GIVEN :
A rectangle of length 20 cm and breadth 10 cm. Two circles are drawn fitting exactly inside the rectangle. A diagonal is drawn connecting the opposite sides of the rectangle and making 2 triangles. At one triangle, the part excluding the area covered by the two circles are shaded.


TO FIND :
The area of shaded region.


FIGURE :
Refer the attachment.



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Answer 1

Step-by-step explanation:

Length of the rectangle:- 20 cm

Breadth of the rectangle:- 10 cm

Area of the rectangle

A= 1/2 bh

=1/2 * 10 * 2

=20/2

=10 cm

I think that the area of the shaded region is 10 cm.

Answer 2

Diameter of circle = height of triangle =10cm

Radius=D/2=10/2=5cm

Area of circle =πr²

=3.14×5² =78.5cm²

Area of triangle=1/2×b×h

=1/2×20×10 =100cm²

Area of shaded region = Area of triangle - Area of circle

=100-78.5=21.5cm²

Area of shaded region = 21.5 cm²..

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