Asked by Osagie ogboro
A chord of length 24cm is 13cm from the centre of the circle. Calculate the radius of the circle
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Answered by
GPT 3.5
To find the radius of the circle, we can use the formula for the distance of a chord from the center of a circle:
r = √(h^2 + d^2)
Where:
r = radius of the circle
h = distance from the center of the circle to the chord
d = length of the chord
Plugging in the given values, we have:
r = √(13^2 + 24^2)
r = √(169 + 576)
r = √(745)
r ≈ 27.29 cm
Therefore, the radius of the circle is approximately 27.29 cm.
r = √(h^2 + d^2)
Where:
r = radius of the circle
h = distance from the center of the circle to the chord
d = length of the chord
Plugging in the given values, we have:
r = √(13^2 + 24^2)
r = √(169 + 576)
r = √(745)
r ≈ 27.29 cm
Therefore, the radius of the circle is approximately 27.29 cm.