3 years ago

If the radius of a circle with center 0 is 15.5, and the measure of angle AOB is 90, what is the length of arc AB?

Mathematics

1 answer:

Zina [86]3 years ago

3 0

The circumference of the circle is found using the formula C = 2 PI r

Circumference = 2 *PI * 15.5 = 31pi

The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).

The arc length would be 1/4 of the circumference:

Arc length = 31pi / 4 = 7.75PI

You might be interested in

A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtain

slega [8]

Answer: 8359

Step-by-step explanation:

The formula for sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\frac{z_{\alpha/2}}{E})^2$

Given : The significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=z_{0.025}=\pm1.96$

Previous estimate of proportion : $p=0.32$

Margin of error : $E=0.01$

Now, the required sample size will be :-

$n=0.32(1-0.32)(\frac{1.96}{0.01})^2=8359.3216\approx8359$

Hence, the required sample size = 8359

5 0

3 years ago

3x + 2(4x - 4) = 3<br> What’s the answer?

Darya [45]

3x+2(4x-4)=3 - remove parentheses
3x+ 8x-8=3 - collect like terms
11x- 8 =3 - move the constant to the right
11x=3+8 - calculate
11x = 11 - divide both sides by 11
x= 1

3 0

3 years ago

On a map, there are 3 inches between two cities. The actual distance between the cities is 18 miles. What was the scale used? Pl

stira [4]

Answer is 1 in=6 miles, answer A.

5 0

3 years ago

DIVIDE. Show how you used partial quotients to find your answer.<br><br> 1,562 ÷ 34

Temka [501]

1562 divided by 35= 45 with a remainder of 32

6 0

3 years ago

What is the slope of the line y = -2?

rjkz [21]

Answer:

slope= 0

Step-by-step explanation:

it's a horizontal line

4 0

3 years ago