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ABCD is a square of side 70cm. Four quarter circle are drawn with each vertex ascentre as shown in the figure. Find the area of the shaded region. |
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Answer» 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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