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Introduction to a circle: Diameter, radius, and chord A circle with center J is shown in the figure below. Explanation Check L K H 4 (a) Name a diameter: (b) Name a radius: (c) Name a chord: (d) If the length of GK is 10 units, what is the length of JL? X Ś units ?

Introduction to a circle: Diameter, radius, and chord A circle with center J is shown-example-1

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SOLUTION

From the circle given

(a) Diameter is a line drawn across the center of a circle to touch two points on its circumference. The line drawn across the center of this circle is GK

Hence diameter is GK

(b) A radius is half of the diameter of a circle. It is also any point drawn from the center of a circle to touch any part of the circumference. The radii here are GJ, JK and JL.

Hence a radius here is GJ

(c) A chord is any line drawn across a circle, but not drawn across the center of the circle.

Hence the chord here is HI

(d) If GK (the diameter of the circle) is 10 units, JL will be 5 units. Because JL is a radius of the circ

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