To calculate the area of the sector, use the formula:
Area of sector = (angle/360) x πr²
where angle is the measure of the angle subtended by the sector, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.
Plugging in the given values, we get:
Area of sector = (45/360) x π(14)²
Area of sector = (1/8) x 196π
Area of sector = 24.5π square cm, or approximately 76.93 square cm (rounded to two decimal places)
To get the radius of the circle, it may have been given in the problem statement. If not, it can be measured using a ruler or other measuring device. Alternatively, if the circumference of the circle is known, the radius can be calculated using the formula:
Circumference = 2πr
r = Circumference/(2π)
where Circumference is the distance around the circle.
Calculate the area of a sector of a circle which subtends an angle of 45 degree at the center of the circle, radius 14cm.
Explain how to get the radius
1 answer
1 answer