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satela [25.4K]
3 years ago
5

What is the exact length of AB

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

To find value of arc AB, we just need to apply arc lenght formula

Arc \; Length = 2 \pi r \frac{\theta}{360^{\circ}}

Plug the given values of radius r = 4 angle theta = 45

Arc \; Length = 2 \pi *4 *\frac{45^{\circ}}{360^{\circ}}

Arc \; Length = 2 \pi *4 *\frac{1}{8}

Arc \; Length = 8 \pi  *\frac{1}{8}

Arc \; Length = \pi

So the final answer is Arc \; Length = \pi

Tatiana [17]3 years ago
6 0

We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians

So AB= 4 * 45* π/180 = π units

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