A circle of radius 3.25cm has an arc subtended by an angle of 15∘What is the length of the associated arc? There are two ways to approach this problem. The first method is to use the equation for arc length which has already been adjusted to work with degrees. Using this formula yi...
Answer and Explanation:1 The length of the arc that is intercepted by a central angle {eq}\theta {/eq} (in radians) is given by $$\text{arc length}=r\theta $$ where... Learn more about this topic: Arc | Definition, Formula & Measure ...
However, the arc length and the radius should be in the same units. Answer and Explanation: The following are given: s=8 ft.r=5.5 ft. Using the formula relating arc length, radius and angle, it follows that: {eq...Become a member and u...
Find Arc Length using the Radius and Chord Length If you know the radius and chord length, but you don’t know the central angle, then you need to find the central angle first in order to use the formula above. Given this information, you can find the central angle of a sector with ...
In geometry, Arc is the part of circumference of a circle. It is a smooth curve with two end points. The length of the arc that subtend an angle (θ) at the center of the circle is equal 2πr(θ/360°). Learn more about arc at BYJU’S.
r: radius of the circle, θ: central angle of a circle. Conclusion The arc formula is used to find the length of an arc in the circle. And as seen above, there are different formulas under different conditions. So, while we calculate the arc length we have to focus on the given cond...
Arc Length Formula ( if θ is in radians ) ( s ) =r Let us understand it using an example Example Calculate the length of an arc if the radius of an arc is 8 cm and the central angle is 40°. Solution We have been given that ...
What is the formula for the area of the sector? The formula to calculate the area of the sector is $$A=\frac{\theta}{360^o}\times{\pi}r^2 $$, where you would need the measure of the central angle in degrees and the radius length. What is the formula for arc length of a sect...
It is given that circumference length = 54 cm. First we will find the radius of the ccircle, i.e. r =circumferencelength2π i.e. r =542π Also centre angleθ=120∘ Now, we know that arc length of circle using the arc length formula, ...
a) What is the radian measure of that angle?Answer. According to the definition:θ = sr = 810 = .8b) At that same central angle θ, what is the arc length in a circle whose radius is 5 cm?Answer. For a given central angle, the ratio of arc to radius is the same in all ...