From your question, we can't tell whether [ 64 pi ] is the area of the circle
or the sector.
The area of a circle is [ pi R2 ].
If [ 64 pi ] is the area of the circle, then the radius is [ 8 ], and we don't care
about the sector.
If [ 64 pi ] is the area of the sector, then the area of the full circle is [ 256 pi ]
(because the 90-degree sector is 1/4 of the circle), and the radius is [ 16 ].
64pi (miles square)
Area = 64pi implies that radius = 8 units So diameter = 2*rad = 16 units.
Well...a "sector" is part of a circle...which has a radius. But in order to calculate the radius, you'd need both the total area of the circle, and the central angle of the sector (or enough information to get the central angle). Let's say you're looking at a clock (and let's assume both the minute hand and the hour hand are the same length, and extend from the center all the way to the edge of the clock). Assuming this, the length of both hands would be the radius, as they are segments whose endpoints are the center of the circle, and a point on the circle. If you put the hands of the clock at the 12 and 3, you've just created a sector that is 1/4 of the entire area. The angle created by these hands would have a vertex that is the center of the circle...and this would be the "central angle"...and it would have a measure of 1/4 of 360...which is 90. But...while you can say what "fraction" of the circle is encompassed by the sector, you can't do any calculations until you have somewhere to start from. Let's say in the above example, you knew that the entire area of the circle was 64pi. The radius of that circle would be the square root of 64=8. This would, obviously be the radius of the sector as well...but since our "central angle" was 90...the AREA of the sector is 90/360 (or 1/4) of the total area. Since our initial area was 64pi...the area of the sector would be 16pi. But if all you want is a simple formula, the radius of a circle (and by extension the sector), given the area of the sector (s) and the measure of the central angle (c) would be the square root of [(360*s)/(c*pi)]
If by ' A 64 pi' you mean the Area. Then A = 64pi Since A = pi r^2 and 64 is 8^2 Then we can say r(radius)= 8 The circumference of a circle is C = 2pir Hence C = 2 x 3.14 x 8 C = 16 x 3.14 C = 50.24 linear units. The value for 'pi' at 3.14 is an approximation.
The area of a circle can be found with the formula (pi)r2. Since r = d/2, r would be 8in in this case. A = 64pi in2, or 201.1in2
64pi (miles square)
Area = 64pi implies that radius = 8 units So diameter = 2*rad = 16 units.
Well...a "sector" is part of a circle...which has a radius. But in order to calculate the radius, you'd need both the total area of the circle, and the central angle of the sector (or enough information to get the central angle). Let's say you're looking at a clock (and let's assume both the minute hand and the hour hand are the same length, and extend from the center all the way to the edge of the clock). Assuming this, the length of both hands would be the radius, as they are segments whose endpoints are the center of the circle, and a point on the circle. If you put the hands of the clock at the 12 and 3, you've just created a sector that is 1/4 of the entire area. The angle created by these hands would have a vertex that is the center of the circle...and this would be the "central angle"...and it would have a measure of 1/4 of 360...which is 90. But...while you can say what "fraction" of the circle is encompassed by the sector, you can't do any calculations until you have somewhere to start from. Let's say in the above example, you knew that the entire area of the circle was 64pi. The radius of that circle would be the square root of 64=8. This would, obviously be the radius of the sector as well...but since our "central angle" was 90...the AREA of the sector is 90/360 (or 1/4) of the total area. Since our initial area was 64pi...the area of the sector would be 16pi. But if all you want is a simple formula, the radius of a circle (and by extension the sector), given the area of the sector (s) and the measure of the central angle (c) would be the square root of [(360*s)/(c*pi)]
64pi
A = 64pi
If by ' A 64 pi' you mean the Area. Then A = 64pi Since A = pi r^2 and 64 is 8^2 Then we can say r(radius)= 8 The circumference of a circle is C = 2pir Hence C = 2 x 3.14 x 8 C = 16 x 3.14 C = 50.24 linear units. The value for 'pi' at 3.14 is an approximation.
The new volume is 76.566 cubic inches.
Area = 4*pi*42 = 64pi square units
The area of a circle can be found with the formula (pi)r2. Since r = d/2, r would be 8in in this case. A = 64pi in2, or 201.1in2
area = pi*r2 2r = d r = 8 inches area = pi*82 area = 64pi
The area of a cross section of a cylinder that is parallel to its base is equal to the area of the base. In this case, the base of the cylinder is a circle with a radius of 8 inches. Therefore, the area of the cross section is 64pi square inches.
To find the surface area of a sphere, the formula is: 4pi*r2So plug in numbers: 4pi(4)24pi(16)=64pi