The area of the great circle is 1m2. Find the surface of the ball.
| June 24, 2021 | education
The area of the great circle is equal to the cross-sectional area of the ball passing through the center of the ball. In this case, the radius of the ball and the radius of the circle are equal. Let’s denote the radius by r. Area of a circle:
s = nr ^ 2 = 1 m ^ 2.
Ball surface area
S = 4пr ^ 2.
Notice that the expression after the number 4 is equal to the area of the circle:
S = 4s = 4 * 1 m ^ 2 = 4 m ^ 2.
Answer: S = 4 m ^ 2.
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