CBSE Class 10 Maths (Standard) 2018 · Paper 30/1/1 · Question 20

Areas Related to Circles 3 marks Medium

Find the area of the shaded region in Fig. 2, where arcs drawn with centres

A

B

C

and

D

intersect in pairs at mid-points

P

Q

R

and

S

of the sides

A B

B C

C D

and

D A

respectively of a square

A B C D

of side

12

cm. [Use

π = 3.14

]

Fig. 2: square ABCD with corner-centred arcs meeting at side mid-points.

Answer

Area of the shaded region

= 144 - 113.04 = 30.96

^{2}

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