The length of the radius of a circle is 15 mm. The length of a chord is 24 mm. Find the distance from the center of the circle to the chord.
To find: The distance from the center of the circle to the chord.
Theorem:
1) A radius that is perpendicular to a chord bisects the chord.
2) If a line through the centre of a circle bisects a chord other than a diameter, then it is perpendicular to the chord.
Calculation:
Given that the length of the radius of a circle is 15 mm.
The length of the chord is 24 mm.
Let O be the center of the circle and AB be a chord.
So, AB = 24 mm and OB = radius = 15 mm
The distance from the center of the circle to the chord = OP.
By theorem,
So, â—¿
By theorem,
So,
So,
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