Hello!
What does this mean?
...find the lenght of the arc subtended by an angle of measure 2...
(I suck at English :) )
It means, on a circle, find the length of the arc at the end of a radius, rotated through some angle. Of course, you know the length if it is a complete circle as 2PI*radius.
If you draw two radii of a circle with center O, and they intersect the circle at A and B, then angle AOB is said to subtend the arc AB.
The length of the circular arc AB is rθ, where θ is measured in radians.
An angle of π/2 is a right angle, so it subtends 1/4 of a circle. The whole circumference is 2πr, so πr/2 is 1/4 of that.
For your problem, an angle of measure 2 will subtend an arc of length 2r, whatever the radius r of the circle is.
Tahnk you very much!
Hello! No worries, I'm here to help.
The phrase "find the length of the arc subtended by an angle of measure 2" is referring to a geometric problem. Let's break it down:
1. Arc: In geometry, an arc refers to a part of the circumference of a circle.
2. Subtended: When an arc "subtends" an angle, it means that the two endpoints of the arc are on the circumference of the circle, and the angle is formed by drawing lines from the center of the circle to those endpoints.
3. Angle of measure 2: The phrase "angle of measure 2" means that the size or measure of the angle is 2 degrees, 2 radians, or some other unit.
So, in simpler terms, you are being asked to calculate how long the arc is when the angle it subtends has a measure of 2 (degrees, radians, or other unit).
To find the length of the arc, you need to know the radius of the circle and the angle it subtends. The formula to calculate the length of the arc is:
Arc Length = (angle/360) x (2πr)
Here, angle is the measure of the angle in degrees or radians, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14159.
Plug in the values for the angle and the radius to calculate the length of the arc.