SOLUTION: Two of the tangents to a circle meet at Q, which is 25 cm from the center. The circle has a 7-cm radius. To the nearest tenth of a degree, find the angle formed at Q by the tangent

Question 1158993: Two of the tangents to a circle meet at Q, which is 25 cm from the center. The circle has a 7-cm radius. To the nearest tenth of a degree, find the angle formed at Q by the tangents.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two of the tangents to a circle meet at Q, which is 25 cm from the center.
The circle has a 7-cm radius.
To the nearest tenth of a degree, find the angle formed at Q by the tangents.
:
The tangent point on the circle forms a right angle with radius, a right triangle is formed with half the angle at Q and 25 cm
Find half the angle (A) at Q using the tangent of the angle
tan(A) =
A = 15.64
then
2*15.64 = 31.3 is the angle at Q

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