ABCD is a square of side 70cm. Four quarter circle are drawn with each vertex as
centre as shown in the figure. Find the area of the shaded region.
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Answer:
1050 sq.cm
Step-by-step explanation:
STEP 1 : TO FIND THE AREA OF THE SQUARE.
Area of Square = 70 × 70 = 4900 sq.cm
STEP 2 : TO FIND THE AREA OF THE FOUR QUARTER CIRCLES.
Four quarter circles make a single circle. So, the radius
of the complete circle is 35 cm.
Area of a circle = 22/7 × 35 × 35
= 3850 sq.cm.
STEP 3 : TO FIND THE AREA OF SHADED REGION.
Area of Square - Area of circle = Area of shaded region.
= 4900 - 3850 = 1050 sq.cm
Therefore, area of shaded region = 1050 sq.cm
Hope it is helpful
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