What is the solution to the equation below?

A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle

MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

Learn more about the area of a sector at

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8 0

1 year ago

PLEASE HELP MEEEEEE PLEASEEEEEEEE!!!!!! IM TIMED

PIT_PIT [208]

D
It makes sense. At most means equal or less than. The 10 per hour has a variable.

8 0

3 years ago

Read 2 more answers

A school has a goal of getting at least 2000 boxtops. They have 872 so far. They have 8 days left to get it. At least how many d

True [87]

Answer:

School needs to collect at least 144 box tops each day to meet their goal.

Step-by-step explanation:

The total requirement of box tops = 2,000

The number of box tops they have already received = 872

So, the box tops left = Total number required- Number of tops received

=2,000 - 872

= 1,128 box tops are left so far.

Number of days left = 8

So, number of minimum tops needed each day = $\frac{\textrm{Total tops required}}{\textrm{Number of days left}}$

= $\frac{1128}{8} = 141$

Hence, they need to collect at least 144 box tops each day to meet their goal.

5 0

3 years ago

Denzel had $88. He spent $13 on a baseball cap. Then he earned $22 babysitting.

djverab [1.8K]

97 is your answer

hope this helps

5 0

3 years ago

Please please please help me

Leviafan [203]

The correct answer is 17 what i did was plug in 17 where ever you see x so x2 would be 17x2 an then plus the 5 gives u 39 3x 17x3=51 51+10=61 now add the totals 61 plus 39 gives u 100

8 0

3 years ago

Read 2 more answers