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What is the area of a sector whose central angle is ninety degrees and has a radius of ten inches?
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.
What else can I help you with?
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
What is the radius of a circle that has an area of 855.3 inches squared?
The radius is 16.5 inches.
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)
