the end of a pendulum of length 40cm travels an arc length of 5 cm as it swings through an angle alpha.find the measure of the central angle
arclength=radius*angleinradians
solve for angleinradians
how to answer this problem ..i need help ..i need solution for this problem can you give me answer
an isosceles triangle is inscribed in a circle of radius 100 in.find the angles of the triangle if its base subtends an arc of 143.7 in
To find the measure of the central angle, we need to use the arc length and the length of the pendulum.
The arc length (s) is given as 5 cm, and the length of the pendulum (L) is given as 40 cm.
The formula relating the arc length (s), the central angle (θ), and the radius (r) of the circle is:
s = rθ
In this case, the radius of the circle is equal to the length of the pendulum.
We can rearrange the formula to solve for the central angle (θ):
θ = s / r
Substituting the values, we get:
θ = 5 cm / 40 cm
Simplifying, we find:
θ = 1/8
Therefore, the measure of the central angle is 1/8 radians.