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Rudik [331]
3 years ago
8

Use the given information to find the length of a circular arc. Round to two decimal places.the arc of a circle of radius 11 inc

hes subtended by the central angle of pie/4
Answer is in inches(in)
Mathematics
2 answers:
sattari [20]3 years ago
7 0

Answer:

The length of the circular arc is 8.64 inches

Step-by-step explanation:

Length of circular arc (L) = central angle/360° × 2πr

central angle = pie/4 = 45°, r (radius) = 11 inches

L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)

KiRa [710]3 years ago
4 0

Answer:

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 11 inches

θ = pi/4

2π = 360 degrees

π = 360/2 = 180

Therefore,

θ = 180/4 = 45 degrees

Therefore,

Length of arc = 45/360 × 2 × 3.14 × 11

Length of arc = 8.64 inches rounded up to 2 decimal places

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Answer:

<u>$4</u> is spent on a big pail and <u>$2</u> is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail be x.

And the cost of small pail be \frac{x}{2} .

As given, there are 2 big pails.

And the total money spent = $10.

According to question:

(x+x)+\frac{x}{2}=10

2x +\frac{x}{2}=10

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<em>Multiplying both sides by 2 we get:</em>

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<em>Dividing both sides by 5 we get:</em>

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<em>So, the cost of a small pail</em> = \frac{x}{2} =\frac{4}{2}=\$2.

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