Question

In circle M with m/LMN = 84 and LM = 13 units find area of

sector LMN. Round to the nearest hundredth.

Answer 1

123.88 square units

Explanation:

r = radius of circle

= radius of sector

= Length of LM

= Length of MN

= 13 units

When the angle is measured in degrees:
Area of a sector:
`(Angle OfSector)/(360^(o))`×
`\pi r^(2)`

=
`(84)/(360)`×
`[\pi (13)^(2)]`

= 123.883
`units^(2)`

= 123.88 square units (Rounded to the nearest hundredth)