Find the area of 3/4 of a circle with a radius of 8 cm. Find the area of the second circle with a radius 3/4 of the radius of the first circle.
| January 14, 2021 | education
1)) the formula for finding the area of a circle S = pi * r squared (where pi is a constant number equal to 22/7, r is the radius of the circle). Then S = 22/7 * 8 * 8 = (22 * 8 * 8) / 7 = 1 408/7 = 201 1/7 square centimeters;
2) 201 1/7 * 3/4 = 1 408/7 * 3/4 = (1 408 * 3) / (7 * 4) = (352 * 3) / (7 * 1) = 1 056/7 = 150 6/7 square centimeters;
3) 8 * 3/4 = (8 * 3) / 4 = (2 * 3) / 1 = 6/1 = 6 centimeters – the radius of the second circle;
4) S = 22/7 * 6 * 6 = (22 * 6 * 6) / 7 = 792/7 = 113 1/7 square centimeters.
Answer: 150 6/7 square centimeters; 113 1/7 square centimeters.
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