Question 994568: a chord is 6 cm long. it is 15 cm from the centre of a circle. What is the radius of the circle. Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! Imagine and draw a circle with center at the origin of cartesian system. y-axis makes a perpendicular bisector with a chord, and each part of the chord is 3 cm. in length. Two points on this circle are (-3,15) and (3,15).
The question asks for the radius of the circle. How far is either of the specified (or found) points from the origina? That is the radius.
Use the Distance Formula.
You can put this solution on YOUR website!
a chord is 6 cm long. it is 15 cm from the centre of a circle. What is the radius of the circle.
The perpendicular bisector is drawn from the circle's center to the chord, which it bisects
We now draw 2 radii to each endpoint of the chord
We now have an isosceles triangle which consists of 2 right triangles, with 2 radii as its hypotenuses.
To find the radius, we use the pythagorean theorem, and we get: . This results in a radius value of
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