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2 years ago

Find the area of the circle. Write your solution in terms of and round to the nearest hundredth.

Mathematics

1 answer:

sleet_krkn [62]2 years ago

4 0

Answer:

A = 25π cm²

In decomal form = 78.5cm²

Step-by-step explanation:

Area of a circle is expressed as;

A = πr²

r is the radius of the circle

Since we are not given the radius. Let us assume that r = 5cm

Substitute into the formula;

A = π(5)²

A = 25π cm²

As a decomal;

A = π(5)²

A = 3.14 * 25

A = 78.5cm²

Note that the radius of the circle was assumed. The same calculation can be employed for any value of the radius

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alexgriva [62]

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3 years ago

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ycow [4]

Answer:

Step-by-step explanation:

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2 years ago

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 6√5 units.

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 6√5 units.

Learn more about the area of a sector at

brainly.com/question/22972014

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8 0

8 months ago

SHOW ALL WORK BUT KEE IT SIMPLE AND EASY TO UNDERSTAND:)

7nadin3 [17]

To do this problem, you need to use a process called completing the square. Let me explain:

To complete the square on the function f(x) = x² + 8x +13, first group the first two terms in ( ) and leave some space at the end as follows:
f(x) = (x² + 8x ) + 13 Now our next step is to fill in the space and adjust our expression on the right hand side of the function. To do this, we take half of the middle number 8 and then square it: so 4² = 16 and we fill in our space inside the ( ) with this value 16;
f(x) = (x² + 8x + 16) + 13 now what we have done is to increase the overall value of our expression on the right by 16, but we want the overall value to remain the same. To fix this we simply need to subtract 16 at the end like this: f(x) = (x² + 8x + 16) + 13 -16 we can simplify and get the following.
f(x) = (x² + 8x + 16) - 3 At this point we're almost done.. All we need to do now is to rewrite the what is in the parentheses in a slightly different form. Here is what it will look like: f(x) = (x + 4)² - 3 notice all I did was take the sum of the square root of x² and the square root of 16 originally in the ( ) to get then new expression inside the ( ) and then square that ( )²

Now this is a nice form to have because you can get the vertex straight from this form.. IN FACT this is called vertex form or (h,k) form for short. In general the form is f(x) = a(x - h)² + k don't worry about the 'a' for now.. you might see that in our case it is just 1 and will not effect our equation. You only have to consider this if the original leading coefficient of the quadratic is not 1 to begin with...

So you can see that our vertex is (-4,-3)
Hope this is helpful, but if you have questions let me know.

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2 years ago

Form an equation use the letter x for a unknown answer

Nata [24]

Answer:

When you use x its to replace a number

6 0

3 years ago

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