If the problem type is labeled “ClickAndPlace”, click the item to select it and then click the location where it belongs; otherwise, click the item and drag it into place.
Express answer in exact form.
Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius.

help me

Question

If the problem type is labeled “ClickAndPlace”, click the item to select it	 and then click the location where it belongs; otherwise, click the item and	 drag it into place.
Express answer in exact form.
Find the area of the larger segment whose chord is 8" long in a circle	 with an 8" radius.

help me

anonymous · Answer

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anonymous · Answer

Find the total area of the circle: pi*r^2 = pi*8^2= 201.062 in^2

The chord and the two radii form an equilateral triangle, all angles 60 degrees.

Find the area of the portion contained in the 60 degree area
60* 201.062/360 = 33.51 in^2

Find the area of the equilateral triangle. = 27.71 in^2

Find the area of chords smaller segment: 33.51 - 27.71 = 5.8 in^2

Find the area of the larger segment: 201.06 - 5.8 = 195.26 in^2