SOLUTION: The area of a cross section of a sphere is 64\% of the largest possible cross sectional area of the sphere. If the sphere has radius 1/2, what is the area of the cross section?

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Question 1210244: The area of a cross section of a sphere is 64\% of the largest possible cross sectional area of the sphere. If the sphere has radius 1/2, what is the area of the cross section?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The great circle of the sphere is a circle with radius 1/2; its area is %28pi%29%28r%5E2%29=%281%2F4%29pi.

The area of the circle in this problem is 64% of the area of the great circle.

%28%281%2F4%29pi%29%2864%2F100%29=%2816%2F100%29pi=%284%2F25%29pi

ANSWER: %284%2F25%29pi

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Was solved at this forum about one month ago under this link

https://www.algebra.com/algebra/homework/Bodies-in-space/Bodies-in-space.faq.question.1210141.html