All categories

1 year ago

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.

Mathematics

1 answer:

QveST [7]1 year ago

4 0

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}$

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

Learn more about Length of an Arc:

brainly.com/question/1577784

#SPJ1

You might be interested in

Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou

Anna35 [415]

For this case we have the following equation:
$3 \sqrt{x+6}=-12$
Rewriting we have:
$\sqrt{x+6}= \frac{-12}{3}$
$\sqrt{x+6}=-4$
We raise both members of the equation to the square:
$(\sqrt{x+6})^2=(-4)^2$
Rewriting we have:
$x+6=16$
$x=16-6$
$x=10$
It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
$3 \sqrt{10+6}=-12$
$3 \sqrt{16}=-12$
$3(4)=-12$
$12=-12$
Answer:
The solution is:
$x=10$
It's a extraneous solution

6 0

2 years ago

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin

ikadub [295]

Answer: 4x² + 5x + 3

<u>Step-by-step explanation:</u>

$\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}$

8 0

3 years ago

Events A and B are independent. find the missing probability<br> P(A)= 1/4 , P(B)= 3/5, P(B I A) =?

Svetach [21]

Answer:

hello : P(A and B) = 3/20

Step-by-step explanation:

events A and B are independent:

P(A and B) = P(A)×P(B)

P(A and B) = (1/4)×(3/5)

P(A and B) =3/20

continu ....

P(B/A)= P(A and B) / P(A)

3 0

2 years ago

Is anybody able to help me get number ten? (Geometry)

Nikitich [7]

Answer:

Aha..our nemesis problem. :)

The area is 129.90 ft ^2.

Step-by-step explanation:

First, use a 30-60-90 triagle to find the apothem.

$5\sqrt{3} =8.66\\8.66*5=43.30\\43.30/2=21.65\\$

That is the area of 1 triangle. There are 6 of them in a hexagon, so multiply that number by 6:

21.65*6=129.90 ft ^2

Have a great day!

6 0

2 years ago

In parallelogram ABCD below, AD = BC = 9, AB = CD = 5. If line BE = 12 and line DE = 4, what is the area of

dalvyx [7]

Answer:

Step-by-step explanation:

5 0

2 years ago