The area a sector of a circle is given by a=pir^2s/360, where r is the radius of the circle and s is the angle measure

Answers

Answer 1
Answer: To solve the equation of the  of the sector of circle for s we shall have:
a=πr^2s/360
multiplying both sides by 360 we get:
360
×a=(πr^2s/360)×360
360a=πr^2s
dividing both sides by πr^2
(360a)/πr^2=(πr^2s)/πr^2
this gives us:
s=(360a)/(πr^2)

Answer: s=(360a)/(πr^2)

Answer 2
Answer:

Final answer:

The area of a sector of a circle 'a' can be calculated using the formula a=πr²s/360, where 'r' is the radius and 's' is the angle measure in degrees. The rotation angle is the arc length in relation to the radius of the circle. This concept is part of mathematics introduced in high school.

Explanation:

The subject of your question is regarding the area of a sector in a circle. This is a mathematical concept usually introduced in high school level geometry. Here, the formula you've mentioned, a=πr²s/360, will enable you to calculate the area 'a' of a sector in a circle. 'r' represents the radius of the circle and 's' is the angle measure in degrees.

When we refer to rotation angle, we are talking about the arc length in relation to the radius of the circle. A full revolution of a circle is 360 degrees (°) which is equal to 2π radians. This is due to the definition of one radian as the angle when the arc length is equal to the radius of the circle.

To understand this, let's consider an example. If 's' is 90 degrees, and the radius 'r' is 1, then the area 'a' of the sector would be: a = π*1²*90/360 = π/4 square units.

Learn more about Area of a Sector here:

brainly.com/question/29055300

#SPJ3


Related Questions

BRAINLIEST !Please at least take a look.
what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2
What is 14,000,000 in scientific notation?
Solve the system using elimination. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)13x + y = 15-9x - 3y = -15
Which of the following is not the same as 0.953 kilograms? 953,000mg 953g 9,530cg

The "prime time" for auditory and visual development is around what age?a. 3 to 4 months
b.1 to 2 years
c. 4 to 5 years
d. 7 to 10 years

Answers

Answer:

The "prime time" for auditory and visual development is around:

c. 4 to 5 years

Step-by-step explanation:

Auditory and visual development in children refers to the development of capacities that allow them to perceive their surrondings and answer to them. The prime time to develop the capacity to hear and see is around 4 to 5 years.

C. 4 to 5 years

Hope this helps :)

30 points and BRAINLIEST! Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Answers

Answer:

(x − 4)² + (y − 3)² = 25

Step-by-step explanation:

The equation of a circle is:

(x − h)² + (y − k)² = r²

Given three points on the circle, we can write three equations:

(1 − h)² + (7 − k)² = r²

(8 − h)² + (6 − k)² = r²

(7 − h)² + (-1 − k)² = r²

Expanding:

1 − 2h + h² + 49 − 14k + k² = r²

64 − 16h + h² + 36 − 12k + k² = r²

49 − 14h + h² + 1 + 2k + k² = r²

Simplifying:

50 − 2h + h² − 14k + k² = r²

100 − 16h + h² − 12k + k² = r²

50 − 14h + h² + 2k + k² = r²

Subtracting the first equation from the second and third equations:

50 − 14h + 2k = 0

-12h + 16k = 0

Solving the system of equations, first reduce:

25 − 7h + k = 0

-3h + 4k = 0

Solve with substitution or elimination.  Using substitution, solve for k in the first equation and substitute into the second.

k = 7h − 25

-3h + 4(7h − 25) = 0

-3h + 28h − 100 = 0

25h = 100

h = 4

k = 7h −25

k = 7(4) − 25

k = 3

Now plug these into any of the original three equations to find r.

(1 − h)² + (7 − k)² = r²

(1 − 4)² + (7 − 3)² = r²

9 + 16 = r²

25 = r²

The equation of the circle is:

(x − 4)² + (y − 3)² = 25

Graph: desmos.com/calculator/ctoljeqhnp

Use the percent proportion to find each
10. 25 is what percent of 125?

Answers

25/125 x 100% = 20%.

What do you add to 2 5/7 to make 4?

What do you add to 4 2/9 to make 6?

Answers

Answer:

For each question, just subtract the bigger number from the smaller one :D

A 13 foot board is cut into two pieces. If one piece is x feet long express the other length in terms of x

Answers

Since the foot board is 13 feet long, it can be said that the sum of the two pieces is 13. If one piece is x, the other piece can be expressed as the difference of 13, the total length of the foot board, and x, the length of the first piece. Hence, the other piece, in mathematical terms, is expressed as 13-x.

If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function

Answers

hmm

the question doesn't look clear