# Point Q is 20 meters away from the center of the circle.if the diameter of the circle is 10 meters and a line through Q is tangent to the circle at T.find QT

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by chutekhizes

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by chutekhizes

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= 1/2 (10)

= 5 meters

Point Q is point outside the circle. T is a point on the circle and the point of tangency of the circle and QT.

A line tangent to the circle is perpendicular to its radius. Therefore, QT is the base, radius is the leg, and center to Q is the hypotenuse.

Using Pythagorean Theorem:

(QT)² = 20² - 5²

(QT)² = 400 - 25

(QT)² = 375

QT =

QT =

QT = meters