Need to find the radius

Any assistance much appreciated.

Note by Monty McGee
1 year, 8 months ago

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Have tried in vain to find the radius.

Monty McGee - 1 year, 8 months ago

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Hint 1: Try forming a right triangle.

Hint 2: Let OO be the center of the circle and XX be the point where the rectangle touches the circle. Create a right triangle with OXOX as the hypotenuse and whose side lengths you can easily find.

Steven Yuan - 1 year, 8 months ago

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Thanks, Steven. I tried that before but obviously did not hit upon the correct setup; will go at it again.

Monty

Monty McGee - 1 year, 8 months ago

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You are assuming that rectangle touches the circle, when the illustration shows that it doesn't.

Dylan Valentine - 1 year, 8 months ago

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Thanks for the reply.

That's my fault; I didn't draw it correctly. The rectangle is indeed supposed to be touching the circle.

Monty McGee - 1 year, 8 months ago

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I don't think there is enough info to solve the problem. That's not a circle, it's an oval. It's wider than it is tall. It won't have 1 radius.

Dylan Valentine - 1 year, 8 months ago

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Thanks for the reply.

The drawing is not correct; I didn't draw it correctly with the Word drawing tool; it is supposed to be a circle.

Monty McGee - 1 year, 8 months ago

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sqrt [ r^2 - (r-1)^2 ] + r = 5;

r = 6 +/- sqrt(10);

r = 6 - sqrt(10);

r = 2.84

G Silb - 1 year, 6 months ago

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Ask Siri

Annie Li - 1 year, 8 months ago

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Hi Annie. Thanks for the comment. Who is Siri ?

Monty McGee - 1 year, 8 months ago

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Oh know, the apple help system. Here is some information about it: Siri

Annie Li - 1 year, 8 months ago

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@Annie Li Thanks.

Monty McGee - 1 year, 8 months ago

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@Monty McGee No probs. Just remember to thank Siri

Annie Li - 1 year, 8 months ago

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