Problema Solution

A chord of a circle is 9cm long. If its distance from the centre of the circle is 5cm . calculate the radius of the circle( show diagrams)

Answer provided by our tutors

2a = 9 cm

a = 9/2 cm

a = 4.5 cm

Using the Pythagorean Theorem we have:

r^2 = a^2 + 5^2

r^2 = 4.5^2 + 5^2

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click here to see the step by step calculation for r

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r = 6.7 cm

The radius of the circle is 6.7 cm.