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In the figure, PA is a tangent and O is the centre of the circle. P A = 17, ∠OPA = 30° then calculate the radius of the circle and distance from centre to the point P Triangle OAP with 30°, 60°, 90° is right triangle. Using the property of this special right triangle find the radius and the distance. |
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Answer» Δ OAP is a right-angled triangle having sides 30°, 60°and 90°. Length of side which is opposite to the angle 90°, is twice the side which is opposite to the angle 30°. Length of side which is opposite to the angle 60°, is √3 times of the side which is opposite to the angle 30° That is radius of the circle , OA = \(\frac{17}{\sqrt{3}}\) Distance from centre to the point P = \(\frac{17}{\sqrt{3}}\times2=19.62.\) |
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