Q. 64.8( 4 Votes )

# ABCD is a square of side 20 cm. Find the area of blue coloured region formed by the semi-circles drawn on each side as shown in figure 13.26. ( = 3.14)

figure 13.26.

Answer :

side of a square (a) = 20 cm

we can see the semi-circle in the square having 10 cm as radius (r)

area of the colored region =

area of 4 semi-circles - area of the square

= 4 × ( × r^{2}) - a^{2}

= 2 (π × 10^{2}) - 20^{2}

= 228 cm^{2}

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Figure 13.29

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Figure 13.27

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Gujarat Board MathematicsABCD is a square of side 20 cm. Find the area of blue coloured region formed by the semi-circles drawn on each side as shown in figure 13.26. ( = 3.14)

figure 13.26.

Gujarat Board Mathematics

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figure 13.25

Gujarat Board Mathematics