The diameter of a circle is 60cm.find the angle which an arc of length 3.14cm subtends at the circle take pie equals 3.142
s = rθ
Plugging in your numbers,
60θ = π
Oops. that's
30θ = π
To find the angle that an arc subtends at the center of a circle, we can use the formula:
θ = (s / r) * 180°
Where:
θ is the angle subtended by the arc,
s is the length of the arc, and
r is the radius of the circle.
Since we are given the diameter of the circle, we can find the radius by dividing the diameter by 2:
r = d / 2 = 60 cm / 2 = 30 cm
Now we can substitute the values into the formula:
θ = (3.14 cm / 30 cm) * 180°
θ ≈ 18.840°
Therefore, the angle that an arc of length 3.14 cm subtends at the circle is approximately 18.840 degrees.