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Radius: A line from the center of a circle to a point on the circle.
Central Angle: The angle subtended at the center of a circle by two given points on the circle.
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How do you find the central angle of a circle if I am given the arc length and radius?
(arc length / (radius * 2 * pi)) * 360 = angle
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
A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?
The area of the sector of the circle formed by the central angle is: 37.7 square units.
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.
What is the length of arc subtended by a central angle of 101.6 degrees in a circle with a diameter of 219 feet?
101.6 degrees = 1.7733 radians. So arc = radius*angle (in radians) = 219/2*1.7733 = 194.2 ft.
What is the length of an arc of a circle?
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
How do you find the central angle of a circle if I am given the arc length and radius?
(arc length / (radius * 2 * pi)) * 360 = angle
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 formula of a central angle of a circle?
Central angle of a circle is the same as the measure of the intercepted arc. davids1: more importantly the formulae for a central angle is π=pi, R=radius Central Angle= Arc Length x 180 / π x R
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 arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
If this is a central angle, the 72/360 x (2xpix4) = 5.024
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.
What is the length of the arc intercepted on a circle of radius 14 cm by the arms of a central angle of 45?
Length of arc = angle (in radians)*radius = (pi/4)*14 = 10.996 cm
A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?
The area of the sector of the circle formed by the central angle is: 37.7 square units.
A central angle of a circle is a right angle then what is the measure of the minor arc?
You can draw exactly four of the those right-angled sectors in a circle. The definition of a sector is quoted as "the portion of a circle bounded by two radii and the included arc". The circumference of a circle = 2*pi*radius. The arc of each sector will be 0.5*pi*radius.
Find the length of arc subtended by a central angle of 30 degrees in a circle of radius of 10 cm?
5.23
