2 years ago

Find the area of a segment of a circle if its arc is 120 degrees and the radius is 3 inches.

Mathematics

1 answer:

Montano1993 [528]2 years ago

6 0

Answer: 9.42 inches, 3π in terms of pi

Step-by-step explanation:

A full circle is 360 degrees, so if the segment has an arc of 120 degrees, it is 1/3 of a regular circle.

To find the area of a circle, we use the equation A = πr^2. In this case, we will divide the equation by 3 because we are only finding 1/ of a circle. So, our equation will be A = (πr^2)/3.

Using 3.14 for π:

A = (πr^2)/3.

A = (π3^2)/3

A = (π9)/3

A = 3π

A = 9.42

You might be interested in

Which expression gives the closest estimate of 228 – 179?

Oxana [17]

Answer:

show the picture

Step-by-step explanation:

7 0

3 years ago

What does 13m2n3p + 21mp2 equal when completely factored?

alukav5142 [94]

If you would like to factor completely 13m^2n^3p + 21mp^2, you can do this using the following steps:

13m^2n^3p + 21mp^2 = mp * (13mn^3 + 21p)

The correct result would be mp * (13mn^3 + 21p).

8 0

3 years ago

PLZ HELP!!! QUESTION IS BELOW! EXPLAIN YOUR ANSWER :D

hjlf

Answer:

172.12 in²

Step-by-step explanation:

Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.

Area of semicircle:

A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²

Area of rectangles:

7*9 = 63 in²
6*14 = 84 in²

Total area:

25.12 + 63 + 84 = 172.12 in²

6 0

3 years ago

The parking lot had 1.5 times more trucks than cars. After 45 more cars came to the parking lot and 12 trucks left, there were 1

Anika [276]

11 cars were in the parking lot

7 0

3 years ago

Consider The Graph shown?

dmitriy555 [2]

Answer:

y = 1/2x + 2

Comparison: The black and blue line haver the same y-intercept, however they have different slopes. The slope of the black line is 2/3 and the slope of the blue line is 1/2.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

7 0

3 years ago