A circle with center H is shown in the figure below.HIJGFK(a) Name a diameter(b) Name a radius(c) Name a chord(d) If the length of IJ is 8 units, what is the length of HG?
Question
A circle with center H is shown in the figure below.HIJGFK(a) Name a diameter(b) Name a radius(c) Name a chord(d) If the length of IJ is 8 units, what is the length of HG?
Solution
(a) A diameter could be line HG or line FK. These lines go through the center of the circle and touch two points on the circle.
(b) A radius could be line HI, HJ, HG, HF, or HK. These lines go from the center of the circle to one point on the circle.
(c) A chord could be line IJ or line GK. These lines touch two points on the circle but do not go through the center.
(d) If the length of IJ is 8 units, then the length of HG is also 8 units. This is because both IJ and HG are diameters of the circle, and all diameters of a circle are equal in length.
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