how can i inscribe an angle of degree 9 and 3/8 in a circle of radius 2 cm
To inscribe an angle in a circle, we need to determine the length of the arc that the angle subtends. The formula for the length of an arc in a circle is given by:
Arc Length = (θ/360) * (2πr),
where θ is the angle in degrees, r is the radius of the circle, and π is a constant approximately equal to 3.14159.
In this case, the angle is 9 and 3/8 degrees, which can be written as a decimal:
Angle = 9 + 3/8 = 9.375 degrees.
Now we can apply the formula to find the arc length:
Arc Length = (9.375/360) * (2π * 2 cm).
First, convert the angle to radians by multiplying it by (π/180):
Arc Length = (9.375 * π/180) * (2π * 2 cm).
Next, simplify and calculate the arc length:
Arc Length = (9.375 * 3.14159/180) * (2 * 3.14159 * 2 cm).
Arc Length ≈ 0.163809 * 39.478 cm.
Arc Length ≈ 6.456 cm.
Therefore, to inscribe an angle of 9 and 3/8 degrees in a circle with a radius of 2 cm, the corresponding arc length is approximately 6.456 cm.