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
An annulus. Area = pi (R2 - r2) when R is radius of larger circle and r is radius of smaller circle.
8 times
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.
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
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.
An annulus. Area = pi (R2 - r2) when R is radius of larger circle and r is radius of smaller circle.
6
The radius becomes one and a half times larger
6 inches pi*32 = 9*pi square inches (smaller circle) pi*62 = 36*pi square inches (larger 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
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
8 times
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.
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).
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.
The radius of the circle.
x2 + y2 = r2, the equation of a circle centered at the origin. If you want to make the circle larger, increase the radius length.