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Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40°.
1) 2.6 inches
2) 1.4 inches
3) 23 inches
4) 13 inches

Answer :

The arc length for a circle with diameter 10 inches abd central angle 60 degrees. round the nearest tenth is 5.2. The answer is (c) 5.2 inches.

To find the arc length for a circle with a diameter of 10 inches and a central angle of 60 degrees, we need to use the formula:

Arc length = (central angle in radians) x (radius)

First, we need to find the radius of the circle. The diameter of the circle is 10 inches, so the radius is half of that, which is 5 inches.

Next, we need to convert the central angle from degrees to radians. To do this, we multiply the angle by pi/180. So, 60 degrees = (60 x pi/180) radians = pi/3 radians.

Now we can plug in the values into the formula:

Arc length = (pi/3) x 5

Arc length = (5pi)/3

Arc length ≈ 5.2 inches (rounded to the nearest tenth)

Therefore, the answer is c. 5.2 inches.

complete question:

find the arc length for a circle with diameter 10 inches abd central angle 60 degrees. round the nearest tenth. a. 2.6 inches b. 3.9 inches c. 5.2 inches d. 10.4 inches

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