Problem 1

What is the area of the shaded portion of the circular segment shown in the

figure below, given a = 50 deg and r = 2 ?

Problem 1

Approach:

Look up mensuration formula for a circular segment.

Given:

a = 50 deg

r = 2

By Definition:

Area for circular segment

A =

r^{2}(a - sina)/2

Solve:

A = r^{2}(a - sina)/2

a = 50 deg = 50 deg 2

p rad / 360 deg

a =

0.27778 p rad

r = 2

Substitute:

A =

2^{2}( 0.27778 p - sin 50)/2

A =

0.213

Why did they change 0.2777 and not leave it in degrees

Answer is b) 0.213

a) 0.425

b) 0.213