a point is 12 inches from the center of a circle whose radius is 15 inches. find the length of the longest chord that can be drawn through this point.

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xleb123 · Accepted Answer

To find the length of the longest chord that can be drawn through a point that is 12 inches from the center of a circle with a radius of 15 inches, we can use the Pythagorean theorem.Let&#039;s denote the length of the longest chord as x. We can create a right triangle with the radius of the circle as one leg, the distance from the center to the point as the other leg, and the chord as the hypotenuse.According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.In this case, we have:x2=152+122Simplifying:x2=225+144x2=369Taking the square root of both sides:x=369Therefore, the length of the longest chord that can be drawn through the point 12 inches from the center of a circle with a radius of 15 inches is 369 inches.

a point is 12 inches from the center

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