Let's denote the radius of the circle as r.
According to the given information, we have a chord with a length of 24 cm that is 13 cm from the center of the circle.
Now, we can draw a right-angled triangle with one leg being half the length of the chord (which is 24/2 = 12 cm), the other leg being the distance from the center to the chord (which is 13 cm), and the hypotenuse being the radius of the circle (which is r).
Using the Pythagorean theorem, we can write the equation:
12^2 + 13^2 = r^2
144 + 169 = r^2
313 = r^2
To find the value of r, we take the square root of both sides:
√313 = √r^2
17.66 = r
Therefore, the radius of the circle is approximately 17.66 cm.
A chord of length 24cm is 13cm from the centre of the circle. Calculate the radius of the circle without approximation
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