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What is the area of a sector whose central angle is ninety degrees and has a radius of ten inches?
Wiki User
∙ 13y ago
Well a circle has 360 degrees so a sector of 90 degrees has an area equal to 90/360 (or 1/4) of a circle with the equivalent radius.
The area of a circle is defined as PI*Radius^2 so the area of a 90 degree sector will be 1/4*PI*Radius^2.
The area will be 1/4*3.14*10^2 or 78.5 in^2.
Wiki User
∙ 13y ago
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How do you find the radius of a circle if the central angle is 36 degrees and the arc length of the sector is 2 pi cm?
The measure of the central angle divided by 360 degrees equals the arc length divided by circumference. So 36 degrees divided by 360 degrees equals 2pi cm/ 2pi*radius. 1/10=1/radius. Radius=10 cm.
What is the area of the shaded sector if the circle has a radius of 7 and the central angle is 45 degrees?
19.23
Find the length of the arc on a circle of radius r equals 16 inches intercepted by a central angle 0 theta equals 60 degrees?
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
THE SUM OF the central angles of a circle depends on the measure of the radius?
Never. The radius of any central angle of one circle will ALWAYS be the same. And not only that ... To answer the question (or to correct the statement that was stated in the place where a question was to be expected): THE SUM of the central angles of a circle is always 360 degrees, whether the radius of the circle is 1 nanometer or 1 light-year.
What is the area of the sector a circle with a radius of 2 inches and an arc of 60 degrees?
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
What is the arc length of a sector that is 125degrees and has a radius of 20 inches?
The arc length of a sector that is 125 degrees and has a radius of 20 inches is: 43.63 inches.
A central angle of a circle of radius 8 cm intercepts an arc of 12.5 cm express the central angle in degrees?
89.52 degrees.
How do you find the radius of a circle if the central angle is 36 degrees and the arc length of the sector is 2 pi cm?
The measure of the central angle divided by 360 degrees equals the arc length divided by circumference. So 36 degrees divided by 360 degrees equals 2pi cm/ 2pi*radius. 1/10=1/radius. Radius=10 cm.
What is the area of a sector whose central angle is ninety degrees and has a radius of six inches?
Remember that a circle has 360 degrees, and now you are looking for 90 degrees. 90 degrees is 1/4, or a quarter, of 360 degrees. The formula for the area of a sector is [pi(r)^2](x/360), where x is the degrees you are looking for. So the equation is [pi(6)^2](90/360). First, you simplify it to [pi(6)^2](1/4). The next step would be [pi(36)](1/4). The final answer would be 9pi.
What is the radius of a circle in which a 30 degrees arc is 2 inches long?
360/30*2 = 24 = circumference of the circle 24/2*pi = 3.819718634 inches = radius of the circle
What is the area of the shaded sector if the circle has a radius of 7 and the central angle is 45 degrees?
19.23
What is the area of the shaded sector if the circle has a radius of 3 and the central angle is 90 degrees?
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
What is the radius of a circle if its radius is 8 inches?
The radius is 8 inches.
Find the length of the arc on a circle of radius r equals 16 inches intercepted by a central angle 0 theta equals 60 degrees?
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
Is it possible for an arc with a central angle of 30 degrees in one circle to have a greater arc length than an arc with a central angle of 150 degrees in another circle?
It is certainly possible. All you need is a the second circle to have a radius which is less than 20% of the radius of the first.
What is the length of an arc with a radius of 5 and the central angle is 120 degrees?
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
