What is the length of an arc cut off by an angle of 1.5 radians on a circle of radius 8 inches?

To solve this problem, we should first recall that the circumference is the measure of the total arc enclosing the circle. The formula for circumference is:

Circumference = 2 π r

where r is the radius of the circle

Now since we are only looking for a fraction of the arc, not the total arc, therefore this simply means we are finding for a portion of the circumference. Now we use the formula:

Arc length = (θ / 360) * 2 π r

Where θ/360 represents how much of the fraction is the arc

Convert angle to degrees: θ = 1.5 rad (180° / π rad) = (270/π)°

Therefore the arc length is:

Arc length = (270/π / 360) * 2 π (8 inches)

Arc length = 12 inches

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step-by-step explanation:

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hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~