Problema Solution
The radius of a circle is 12cm. A chord of the circle is 16 cm long. Calculate the distance of the chord from the centre of the circle. Give the answer to 1 decimal place.
Answer provided by our tutors
make a drawing and use Pythagorean Theorem:
the distance d of the chord from the center of the circle is:
d^2 = 12^2 - (16/2)^2
d^2 = 144 - 64
d^2 = 80
d = 8.9 cm
the distance of the chord from the center of the circle is 8.9 cm approximately.