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Area and VolumeIntroduction to a circle: Diameter, radius, and chordTopic Progress 0 of 50/5KimorahProblem PageQuestionA circle with center F is shown in the figure below.FGJEHI(a) Name a radius: (b) Name a diameter: (c) Name a chord: (d) If the length of FE is 4 units,what is the length of GJ? units

Question

Area and VolumeIntroduction to a circle: Diameter, radius, and chordTopic Progress 0 of 50/5KimorahProblem PageQuestionA circle with center F is shown in the figure below.FGJEHI(a) Name a radius: (b) Name a diameter: (c) Name a chord: (d) If the length of FE is 4 units,what is the length of GJ? units

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Solution

The question seems to be missing the figure that it refers to. However, I can still explain the terms and how you would find the answers if you had the figure.

(a) A radius of a circle is a line segment from the center of the circle to any point on the circle. So, if F is the center of the circle, a radius could be any line segment such as FE, FG, FH, FI, or FJ (assuming these points are on the circle).

(b) A diameter of a circle is a line segment that passes through the center of the circle and whose endpoints lie on the circle. So, a diameter could be a line segment such as EJ or GI (assuming these points are on the circle and the line passes through F).

(c) A chord of a circle is a line segment whose endpoints lie on the circle. So, a chord could be a line segment such as GJ, HI, or EI (assuming these points are on the circle).

(d) If the length of FE is 4 units, and if GJ is a diameter of the circle, then the length of GJ would be twice the length of a radius (since a diameter is two radii). So, the length of GJ would be 2 * 4 = 8 units. If GJ is not a diameter, then we would need more information to determine its length.

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