Answers

2015-12-06T13:51:02+08:00
QT^2 = 25 times 15
QT^2 = 375
QT = 19.365
0
  • Brainly User
2015-12-06T13:56:58+08:00
Radius = 1/2 (diameter)
            = 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

 \sqrt{(QT) ^{2} } = \sqrt{375}

QT =  \sqrt{375}

QT =  \sqrt{(25)(15)}

QT = 5 \sqrt{15} meters
0