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9. What is the length, to the nearest tenth meter, of an arc with measure 45° in a circle with radius 5 meters?​

User Spanishgum
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1 Answer

2 votes

Answer:

The length of the arc is 3.9 meters to the nearest tenth

Explanation:

The formula of the length of an arc of a circle is L =
(x)/(360) × 2πr , where x is the measure of the arc and r is the radius of the circle

∵ The measure of the arc is 45°

x = 45°

∵ The radius of the circle is 5 meters

r = 5 meters

- Substitute the values of x and r in the formula of the length

of an arc above

∵ L =
(45)/(360) × 2π × 5

∴ L =
(1)/(8) × 10π

∴ L = 3.92699

- Round it to the nearest tenth

L = 3.9 meters

The length of the arc is 3.9 meters to the nearest tenth

User Creeperspeak
by
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