answersLogoWhite

0


Best Answer

arc = radius x angle

2 = 5 x angle

angle = 2/5 = 0.4 radian = 0.4 /180/3.14 = 22.9 degrees

User Avatar

Wiki User

8y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: 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?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Geometry

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).


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 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 you find radius of circle?

Measure the distance from the centre of the circle to its circumference.


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

Related questions

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.


What is the measure of the central angle of a circle with radius 5 m that intercepts a 2 m arc?

It is: 2/10pi times 360 = 23 degrees rounded Or, more simply, it is 2/5 = 0.4 radians.


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


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 does he find the measure of a radius if he knows the measure of the diameter?

The radius of a circle is half the diameter.