A chord of a circle is 30 cm long. It's distance from the centre is 8 cm. Find the radius of the circle
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Answered by
5
Answer:
17 cm
Step-by-step explanation:
by the theorem,
the perpendicular drawn from the centre of the circle to the chord makes on right angle triangle to the radius
30 / 2 = 15
By the theorem of Pythagoras ,
Hypotenuse^2 = base^2 + height^2
= 15^2 + 8^2
= 225 + 64
= 289
Hypotenuse^2 = 289
Hypotenuse = √289
= 17
Radius = 17 cm
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3
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