the radius is 10.5 inches.
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Wrong!
Circumference = 2*pi*Radius
Or, Radius = Circumference/(2*pi)
So circumference = 21 inches implies radius = 3.34 inches (to 3 sf)
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Well, darling, the circumference of a circle is calculated using the formula C = 2πr. So, with a radius of 21 cm, you just plug that bad boy in and get C = 2 x π x 21 = 132 cm. Voilà, there you have it!
If radius=21 ft, then diameter = 2*radius = 42 ft
To find the diameter of a circle with a circumference of 66 inches, you can use the formula C = πd, where C is the circumference and d is the diameter. Rearranging the formula to solve for d, you get d = C / π. Plugging in the circumference of 66 inches, the diameter would be 66 / π ≈ 21 inches.
Well, let's imagine that circle as a happy little friend on our canvas. To find the square footage, we first need to find the radius by dividing the diameter by 2. So, with a 42-inch diameter, the radius would be 21 inches. Then we can use the formula for the area of a circle, which is π times the radius squared. Just remember, there are about 0.00595 square feet in one square inch, so you can use that to convert your final answer.
Assuming the 9 inches is from the pivot point to the tip of the minute hand: In 1 hour = 60 minutes the tip of the minute hand sweeps out the circumference of a circle with radius 9 inches. In 35 minutes, it sweeps out a fraction on 35 minutes/1 hour of this. The circumference of a circle is given by circumference = 2 × π × radius Therefore the tip of the minute hand moves: length = 35/60 × 2 × π × 9 in → length = 21/2 π in = 10½ π in ≈ 33.0 in