a circular arch of length 3ft subtends a central angle of 25 degrees. Find the Radius of the circle
I got 6.875 but i think that is wrong
[3 (360/25)] / (2 π)
your answer looks good
thanks
To find the radius of a circle given the length of a circular arch and the central angle, you can use the formula:
Radius (r) = (Arch Length * 360) / (2 * π * Central Angle)
In this case, the arch length is 3 ft and the central angle is 25 degrees. Plugging these values into the formula:
r = (3 * 360) / (2 * π * 25)
r = 1080 / (50 * π)
r ≈ 6.88 ft (rounded to two decimal places)
So, your answer of 6.875 ft was very close. The correct radius of the circle is approximately 6.88 feet.