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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
In a circle of radius 60 inches a central angle of 35 will intersect the circle forming an arc of length?
To find the arc length of a circle given a central angle, you can use the formula: Arc Length = (θ/360) × (2πr), where θ is the central angle in degrees and r is the radius of the circle. For a circle with a radius of 60 inches and a central angle of 35 degrees, the arc length would be: Arc Length = (35/360) × (2π × 60) ≈ 36.7 inches.
What is the relationship between the arc length and the radius of a circle when the central angle is defined in radians?
The relationship between arc length (s) and the radius (r) of a circle when the central angle (θ) is defined in radians is given by the formula ( s = r \cdot \theta ). This means that the arc length is directly proportional to both the radius of the circle and the measure of the central angle in radians. As the radius increases, the arc length increases proportionally, and similarly, a larger angle results in a longer arc.
If the radius of a circle is m what is the length of an arc of the circle intercepted by a central angle of pi radians?
The length of an arc ( L ) of a circle can be calculated using the formula ( L = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Given that the radius is ( m ) and the central angle is ( \pi ) radians, the arc length is ( L = m \cdot \pi ). Therefore, the length of the arc intercepted by a central angle of ( \pi ) radians is ( m\pi ).
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.
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 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
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.
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.
