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Okay More shmoop math for you Here we go Circle

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time in the diagram shown sees center of the circle

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These the mid point a b and a b is

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too While cd that thing is ten Well what is

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the radius of the circle Time to get rad radius

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Whatever We'll be here all night folks The radius of

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the circle is the hypothesis of the right triangle cdb

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or the congruent right triangle a cd we confined cb

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using the pythagorean theorem right c b squared equals c

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d squared plus d b squared The problem tells us

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that two cd is ten so c d then is

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ten over two or five Right So since d is

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the midpoint of a b we also know that d

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b is five right It's the same well plug these

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values in the formula above and that gets us we'll

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see b squared is five squared plus five sward or

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twenty five plus twenty five or fifty Then we just

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take square root of each side and simplify it using

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the fact that while fifty is twenty five times too

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Right so we got square to fifty Factor out that

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twenty five times two We get square root of twenty

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five which is five times for it to so that's

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it The radius of a circle is five times Where

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were you two units The answer is d and we

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are done

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