Question

I'm having problems understanding how to find the smaller segment of a circle. I know the formula but every time I try to solve the problem I'm not getting the correct answer. the chord is 7 and angle is 60 degrees

Answer 1

is what i drew what you are trying to solve for??

Answer 2

yes

Answer 3

ok
Area = area(sector) - area(triangle)

we need to find radius

r = 7 because its an equilateral triangle

area(sector) = pir^2 *(60/360) = 49pi/6

height of triangle = 7sqrt3/2

area(triangle) = 1/2 *7 *7sqrt3/2 = 49sqrt3/4

Area = 49pi/6 - 49sqrt3/4