A segment of a circle whose radius is 28cm subtends an angle of 150°. Calculate the area of the segment in two decimal places.
2 answers
π * (28 cm)^2 * 150º / 360º = ? cm^2
R_scott has found the area of the SECTOR of the described circle.
A segment is the shape formed by a chord and its arc.
So from R_scott's answer of 980/3 π , we have to subtract the area of the
triangle.
We can use "area of triangle" = (1/2)(ab)sinθ
where a and be are two sides of a triangle and θ is the angle between them
so area of triangle = (1/2)(28)(28)sin 150
= 196
area of segment = 980/3 π - 196 cm^2 = appr 830.25 cm^2
A segment is the shape formed by a chord and its arc.
So from R_scott's answer of 980/3 π , we have to subtract the area of the
triangle.
We can use "area of triangle" = (1/2)(ab)sinθ
where a and be are two sides of a triangle and θ is the angle between them
so area of triangle = (1/2)(28)(28)sin 150
= 196
area of segment = 980/3 π - 196 cm^2 = appr 830.25 cm^2
1 answer