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tresset_1 [31]
3 years ago
8

Find the length of an arc of a 8inch radius circle if the arc measures 45 degrees

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
45° is exactly 1/8 of a full circle (45/360 = 1/8) <span>
So the length of the arc would be 1/8 of a full circumference: 
C = 2π r 
C = 2π(8) 
C = 16π 

Take 1/8 of this: 
1/8C = (1/8)16π = 2π 

Answer: 
Exact answer --> 2π inches 
(Approx. answer --> 6.28 inches)</span>
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Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

c = sqrt(10201) = 101

Answer: 101 meters

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3 years ago
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If you are on a ship at sea navigating to a point that is 300 miles north and 400 miles west, find the distance from tour ship t
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Answer:

\huge \boxed{\mathrm{500 \ miles}}

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300 miles and 400 miles are the legs of the triangle.

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