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What is the measure of the central angle of a circle with radius 5 m that intercepts a 2 m arc?
Wiki User
∙ 9y ago
It is: 2/10pi times 360 = 23 degrees rounded
Or, more simply, it is 2/5 = 0.4 radians.
Wiki User
∙ 9y ago
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What is the radian measure of the central angle of a circle of radius 18 feet that intercepts an arc of length 10 ft?
It is 10/18 = 0.55... radians.
How do you find out the radius of a circle?
The radius of a circle is half its diameter (the measure of the circle from one side across to the other).
How do you measure a circle?
circle area is pi times radius squared
If the diameter of a circle is 12 inches what is the measure of its radius?
6 in....
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.
What is the radian measure of the central angle of a circle of radius 18 feet that intercepts an arc of length 10 ft?
It is 10/18 = 0.55... radians.
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.
How do you work out the circumference of a circle using radius?
The formula for calculating the circumference of a circle is 2πr, where r is the radius of the circle and π is 3.1415926535890793 - usually shorted to either 3.1416 or 3.14 So that the circumference of a circle with a radius of 10 units is 62.83 units There are pi radians in a half of a circle. Thus, the measure of a central angle which is a straight line is pi radians. We have a formula that show that the length of an intercepted arc is equal to the product of the angle in radians that intercepts that arc, with the length of the radius of the circle. So we can say that the length of a semicircle is (pi)(r). In a full circle are 2pi radians. So the length of intercepted arc from a central angle with measure 2pi is 2(pi)(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 measure of the central angle of a circle with a radius 5 m that intercepts a 2 m arc using 3.14 as pi?
arc = radius x angle 2 = 5 x angle angle = 2/5 = 0.4 radian = 0.4 /180/3.14 = 22.9 degrees
A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in degrees?
A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 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 an arc central angle and radius of the circle?
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.
What is a central angle of a circle?
the radius
The measure from the center of a circle to its edge?
The measure from the center of a circle to its edge is the radius.
How do find the radius of a circle?
measure it
