Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² ×
= π × 18² ×
= 324π × = 54π in²
area of Δ ABC = × 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
Answer:
Step-by-step explanation:
Use the cosine ratio, . Insert the values:
Isolate x. Multiply both sides by x:
Divide both sides by cos 25:
Insert into a calculator:
Round to the nearest hundredth:
Done.
Answer:
is sometimes positive and sometimes negative.
Step-by-step explanation:
Take
Take
Hence for
and
for
So is sometimes positive and sometimes negative in the interval.