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alukav5142 [94]
3 years ago
10

Suppose a chord of a circle is 16cm and is 12 cm from the center of the circle. find the radius.

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

The radius of the circle is approximately 14.42cm

Step-by-step explanation:

If the length of the chord is 16cm and it is 12cm from the center of the circle.

it means it forms 2 right angles while dividing the center of the chord, to the center of the circle, and at right angle. Length of the adjacent then become 16/2 = 8cm

To calculate the radius which forms hypothenus of the right angle triangle, we use Pytagoras Theorem

Say r^{2} = 12^{2} + 8^{2} , where r is the radius of the circle

r^{2} = 144 + 64

r^{2} = 208

r = \sqrt{208}

r = 14.4222

r ≈ 14.42

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