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klasskru [66]
3 years ago
8

Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of

10 meters, at what angle is Maple Street to Elm Street?

Mathematics
2 answers:
Tom [10]3 years ago
8 0

Answer:

<h2><em> 85.9° </em></h2>

Step-by-step explanation:

Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;

Length of an arc = θ/360 * 2Πr  where r is the radius of the circle.

Given r = 10m and length of the arc = 15m

On substituting;

15 =  θ/360 * 2π(10)

15 = θ/360 * 20π

θ/360 = 15/20π

θ/360  = 0.2387

θ = 360* 0.2387

θ = 85.9°

<em>Hence Maple street is at 85.9° to Elm street.</em>

<em></em>

elixir [45]3 years ago
4 0

Answer:

\approx \bold{85.98^\circ}

Step-by-step explanation:

Given that

Radius of circle = 10 metres

Bryan drives 15 metres around the circle.

To find:

The angle of Maple street to Elm street = ?

Solution:

Kindly refer to the image attached.

The Elm street meets the circle at A.

Maple street at B.

Given that arc length AB = 15m

Radius of circle = 10 m

We have to find the angle of arc.

Let us use the formula:

\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}

Converting to degrees:

\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}

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