The semicircle shown at left has center X and diameter WZ. The radius XY of the semicircle has length 2. The chord YZ has length

Question

3 years ago

13

2. What is the area of the shaded sector formed by obtuse angle WXY

1 answer:

GaryK [48] · Answer 1 · 2022-03-03T18:02:35+03:00

Answer:

4π/3 square units

Step-by-step explanation:

Triangle XYZ is equilateral,

The central angle of the sector is 120°, or 2π/3 radians.

The area of a sector of central angle β is given by

.. A = (1/2)r^2*β . . . . . . β in radians

.. A = (1/2)*2^2*(2π/3) = 4π/3 square units