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Area of a circle with radius r = pir2

Area of the largest circle = Area of the smallest circle + Area of the shaded region

Since areas of the smallest circle and the shaded region are 9pi and 72pi, the Area, A, of the largest circle is

A = 9pi + 72pi = 81pi, where r2 = 81.

Thus, the radius of the largest circle is 9

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Q: You can see a grey circle with a little white cirle in it with a radius of 3 What is the radius of the diagram's larger circle if the area of the shaded region is 72 pie?
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What is a circle with a little circle in it called?

An annulus. Area = pi (R2 - r2) when R is radius of larger circle and r is radius of smaller circle.


IF the radius of a circle is multiplied by 8 then how many times larger is the circumference of the new circle?

8 times


What A circle with a radius of 3 cm shares a center with another circle that has a radius of 5 cm. Find the probability that a randomly selected point is in the larger circle but not in the smaller ci?

We can look at total areas (and ignore units-they're all the same). The smaller circle has an area of 9pi, and the larger circle has an area of 25pi. The smaller circle is entirely inside of the larger circle. So anything not in the smaller circle is in the larger circle. 16pi square centimeters are part of only the larger circle. 16pi/25pi=.64. So the desired probability is .64.


When you make the circle bigger or smaller which number of the standard equation for a circle centered at the origin changes?

Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9


What is the probability as a fraction that a point chosen at random within a circle of radius 10 cm will be inside a concentric circle of radius 4 cm?

The probability as a fraction that a point chosen at random within a circle of radius 10 cm will be inside a concentric circle of radius 4 cm is the ratio of the area of the smaller circle (4 cm radius) to the area of the larger circle (10 cm radius). Therefore, the probability is (4^2)/(10^2) = 16/100 = 4/25.

Related questions

What is a circle with a little circle in it called?

An annulus. Area = pi (R2 - r2) when R is radius of larger circle and r is radius of smaller circle.


If The area of one circle is four times as large as a smaller circle with a radius of 3 inches The radius of the larger circle is?

6


What happens to the radius of a circle when the diameter triples?

The radius becomes one and a half times larger


If the area of one circle is four times as large as a smaller circle with radius of 3 inchesThe radius of the larger circle is?

6 inches pi*32 = 9*pi square inches (smaller circle) pi*62 = 36*pi square inches (larger circle)


In the two circles shown below the radius of the larger circle is three times the radius of the smaller circle If the area of the larger circle is 60.84 timmespi what is the area of the smaller circle?

if the radius is a third then the area is a ninth 60.84 x 1/32 = 6.76 timmespi (if that's 'times pi' then) 6.76/pi = 2.15


The area of one circle is four times as large as a smaller circle with a radius of 3 inches The radius of the larger circle is?

R = radius of big circle, r = radius of little circle Area of circle = pi x R x R = 4 x pi x r x r = 4 x pi x 3 x 3 Therefore R x R = 36 and so R = 6 inches


IF the radius of a circle is multiplied by 8 then how many times larger is the circumference of the new circle?

8 times


What A circle with a radius of 3 cm shares a center with another circle that has a radius of 5 cm. Find the probability that a randomly selected point is in the larger circle but not in the smaller ci?

We can look at total areas (and ignore units-they're all the same). The smaller circle has an area of 9pi, and the larger circle has an area of 25pi. The smaller circle is entirely inside of the larger circle. So anything not in the smaller circle is in the larger circle. 16pi square centimeters are part of only the larger circle. 16pi/25pi=.64. So the desired probability is .64.


Is circumference larger than radius?

Yes it is. Circumference is the whole area of the circle. Radius is from the middle to the side of the circle. Yes it is. The radius it half way across the circle from the center, while the circumference is all the way around the circle. The diameter is all the way across the circle, while being twice the radius. The circumference is about 3.14 times the diameter (or Pi if you prefer).


What is the definition of radius?

The radius is the distance from the center of a circle to the circle itself or its perimeter (one half the diameter).The radius is also the name of the smaller of the two bones of the human forearm. The longer, larger bone is called the ulna.


What is half of a diameter of a circle called?

The radius of the circle.


Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

x2 + y2 = r2, the equation of a circle centered at the origin. If you want to make the circle larger, increase the radius length.