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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.
How do you solve the arc length given only the central angle?
To solve for the arc length when given only the central angle, you also need the radius of the circle. The formula for arc length ( L ) is given by ( L = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. If the angle is provided in degrees, convert it to radians by using the formula ( \theta_{\text{radians}} = \theta_{\text{degrees}} \times \frac{\pi}{180} ). Once you have both the radius and the angle in radians, you can calculate the arc length.
How do you find the chord length with the central angle and radius?
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
How do you find the arc length when the central angle is given?
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
How long is the arc ACB if the radius of the circle is 6?
To find the length of the arc ACB, we need to know the measure of the central angle (in degrees or radians) that subtends the arc. The formula for the arc length ( L ) is given by ( L = r \theta ) for radians or ( L = \frac{\pi r}{180} \times \text{degrees} ) for degrees, where ( r ) is the radius and ( \theta ) is the central angle. Assuming you provide the angle, you can substitute the radius (6) and the angle into the appropriate formula to calculate the arc length.
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.
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.
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.
Is the measure of an arc equal to the measure of its central angle?
Yes. Besides the included angle, arc length is also dependant on the radius. Arc length = (Pi/180) x radius x included angle in degrees.
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
How do you solve the arc length given only the central angle?
To solve for the arc length when given only the central angle, you also need the radius of the circle. The formula for arc length ( L ) is given by ( L = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. If the angle is provided in degrees, convert it to radians by using the formula ( \theta_{\text{radians}} = \theta_{\text{degrees}} \times \frac{\pi}{180} ). Once you have both the radius and the angle in radians, you can calculate the arc length.
Find the length of arc subtended by a central angle of 30 degrees in a circle of radius of 10 cm?
5.23
How do you find the chord length with the central angle and radius?
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
How do you find the arc length when the central angle is given?
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
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
How long is the arc ACB if the radius of the circle is 6?
To find the length of the arc ACB, we need to know the measure of the central angle (in degrees or radians) that subtends the arc. The formula for the arc length ( L ) is given by ( L = r \theta ) for radians or ( L = \frac{\pi r}{180} \times \text{degrees} ) for degrees, where ( r ) is the radius and ( \theta ) is the central angle. Assuming you provide the angle, you can substitute the radius (6) and the angle into the appropriate formula to calculate the arc length.
How do you find the measure of a central angle from the radius?
To find the measure of a central angle in a circle using the radius, you can use the formula for arc length or the relationship between the radius and the angle in radians. The formula for arc length ( s ) is given by ( s = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Rearranging this formula, you can find the angle by using ( \theta = \frac{s}{r} ) if you know the arc length. In degrees, you can convert radians by multiplying by ( \frac{180}{\pi} ).
