Q. 154.3( 12 Votes )

# Nitu has drawn a square ABCD of which length of each side as 12 cm. My sister has drawn four circular arcs with length of radius 6 cm. centering A, B, C, D like picture besides and she has designed some portion. Let us write by calculating the area of shaded region.

Answer :

Given, each side of square = 12cm

⇒ Area of Square ABCD = side^{2}

⇒ (12)^{2}

⇒ 144cm^{2}

Let Radius of each quadrant be r

⇒ r = 6 cm (given)

Now, the sum of the area of the four quadrants at the four corners of the square

⇒ 4 × area of each quadrant ( area of circle = πr^{2}where r is the radius)

⇒ area of quadrant =

⇒

⇒

⇒ 113.14cm^{2}

Now, area of shaded portion

= Area of square, ABCD - sum of the areas of four quadrants at the four corners of the square

⇒ 144 – 113 .14 cm^{2}

= 30 .86 cm^{2}

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PREVIOUSDinesh has made a pie-chart of the students of their class who want to play which game. He has taken length of radius of circle 3.5 cm, let us write by calculating the perimeter and area of each sector of circles.NEXTThe area of circular field is 154 sq cm. Let us write by calculating the perimeter and area of circumference circular field with square.

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