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Q: Find the area of a sector of a circle with radius 12 and arc length 10pi?

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The radius of the circle works out as 5 units in length

10pi, ie 31.415 inches.

The area of the whole circle is PI x 6 squared which equals 36 PI. We can now use the ratio 30/36 = x/360 to find the angle (360 is the full angle if the circle, x is the angle of the segment, pi's cancell out) If we solve for x we get 300 degrees which is the angle we need. As for the length, the circles circumference is 12 PI (12 is the diameter). This means that 30/36= AB/12PI AB=10PI

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The radius of the circle works out as 5 units in length

The radius of the circle works out as 5 units

10pi

The sector area works out as: 10/10pi times 25pi = 25 square in.

10Pi cm

diameter d = 10 in radius r = 5 in arc length s = 10 in C = pi d = pi x 10 in = 10pi in s/C = 10 in/10pi in = 1/pi A circle = pi r2 = pi(5 in)2 = 25pi in2 A sector/A circle = 1/pi (cross multiply) pi A sector = 25pi in2 (divide both sides by pi) A sector = 25 in2

10pi= 31.41592...

10pi, ie 31.415 inches.

I'm not sure what you mean. If the radius is 5, the circumference is 10pi. (about 31 and a half) If the circumference is 5, the radius is 5 divided by 2pi. (about four fifths)

It is: 2/10pi times 360 = 23 degrees rounded Or, more simply, it is 2/5 = 0.4 radians.

The area of the whole circle is PI x 6 squared which equals 36 PI. We can now use the ratio 30/36 = x/360 to find the angle (360 is the full angle if the circle, x is the angle of the segment, pi's cancell out) If we solve for x we get 300 degrees which is the angle we need. As for the length, the circles circumference is 12 PI (12 is the diameter). This means that 30/36= AB/12PI AB=10PI

The minute hand traces its path around the clock once in an hour. The distance travelled by the tip of the hand in this time is 2 x pi x 5cm.The speed is then 10pi cm/hour, which is 8.73 x 10-5 ms-1.

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