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
In the standard equation of a circle centered at the origin, which is (x^2 + y^2 = r^2), you should increase the value of (r^2) to make the circle larger. Since (r) represents the radius, increasing (r^2) will result in a larger radius, thus expanding the size of the circle. For example, changing (r^2) from 1 to 4 will increase the radius from 1 to 2, making the circle larger.
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
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
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
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
8 times
In the standard equation of a circle centered at the origin, which is (x^2 + y^2 = r^2), you should increase the value of (r^2) to make the circle larger. Since (r) represents the radius, increasing (r^2) will result in a larger radius, thus expanding the size of the circle. For example, changing (r^2) from 1 to 4 will increase the radius from 1 to 2, making the circle larger.
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.
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.
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).