Calculate the perimeter of the sector of a circle in centimeters. Use pie = 22/7, radius =14cm and angle =45 degrees.
the length of the arc of a sector is given by the radius times the angle bisected at the centre.
l = 14 x 45
= 630cm
Then you just add twice the radius (the two sides of the sector)
The perimeter = 360 + 14 + 14
= 388 cm
I don't believe you need to use pi in this question.
To calculate the perimeter of the sector of a circle, you need to find the length of the arc and add it to twice the radius.
To find the length of the arc, you can use the formula:
Arc Length = (angle/360) * 2 * pi * radius
Here's how you can calculate it step by step:
1. Convert the angle from degrees to radians:
Angle in Radians = Angle in Degrees * (pi/180)
In this case, Angle in Radians = 45 * (pi/180)
2. Substitute the values into the formula:
Arc Length = (45 * (pi/180)/360) * 2 * (22/7) * 14
3. Simplify the equation:
Arc Length = (1/8) * (22/7) * 14
Now calculate the value of Arc Length using the equation:
Arc Length = 1/8 * 22 * 2 = 11 cm
Finally, calculate the perimeter of the sector by adding the arc length to twice the radius:
Perimeter = Arc Length + 2 * Radius
Perimeter = 11 + 2 * 14
Perimeter = 11 + 28
Perimeter = 39 cm
Therefore, the perimeter of the sector of a circle with a radius of 14 cm and an angle of 45 degrees is 39 cm.