A circle has a diameter of 15 meters. Calculate the length of the arc formed by a central 120° angle.

15.7 meters

Step-by-step explanation:

Applying,

s = πd∅/360° Equation 1

Where s = length of the arc formed, d = diameter of the circle, ∅ = angle formed by the center of the circle, π = pie.

From the question,

Given: d = 15 meters, ∅ = 120°

Constant: π = 3.14

Substitute these values into equation 1

s = (3.14×15×120)/360

s = 15.7 meters

Hence the lenght of the arc formed is 15.7 meters

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.