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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
What else can I help you with?
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?
Area circle = π × radius² Area smaller circle = π × (4 cm)² = 16π cm² Area larger circle = π × (10cm)² = 100π cm² → probability inside smaller circle = area_smaller_circle/area_larger_circle = 16π cm²/100π cm² = 16/100 = (4×4)/(4×25) = 4/25.
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 is the radius of a 6 meter circle?
Well, isn't that just a happy little question! To find the radius of a circle, you simply divide the diameter by 2. Since the diameter of your circle is 6 meters, the radius would be half of that, which is 3 meters. Just imagine that radius as a little friend, bringing balance and harmony to your circle painting.
Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?
You should increase the radius in the standard equation of a circle centered at the origin. The general form is ( x^2 + y^2 = r^2 ), where ( r ) is the radius. By increasing ( r ), you extend the distance from the center to any point on the circle, making it larger.
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 of a circle is the distance from the center of the circle to any point on the circle's circumference. It is half the diameter of the circle. Radius is a fundamental measurement used in geometry and trigonometry to calculate various properties of circles and spheres.
