The solution is 192.83 ft²
We need to find out the shaded region of the provided figure
Area of sector calculated as and
Area of triangle is calculated as
Area of circle is calculated as
Where r is radius
Area of sector is
Area of triangle is
Area of circle is
Area of segment = area of sector - area of triangle
= 60.81 - 34.16
= 26.09 ft²
Area of shaded region = area of circle - Area of segment
= 218.92 - 26.09
= 192.83 ft²
Therefore, the solution is 192.83 ft²
That's a circle less what's called a segment, the white part of the circle.
The circle has area A = πr² = π(8.35)²
The circular sector formed by the 100° angle is a fraction of A so has an area
S = (100/360) A
The isosceles triangle in the sector has two sides that are radii and an included 100° angle so the area
T = (1/2) ab sin θ = (1/2) (8.35)(8.35) sin 100°
The circular segment has area S-T so the area of the pink region is
P = A - (S-T) = A+T-S = π(8.35)² + (1/2) (8.35)² sin 100° - (100/360) π(8.35)²
= (8.35)²(π -(100/360)π + (1/2) sin 100°)
= (8.35)²((260/360)π + (1/2) sin 100°)
I hate ruining a nice exact answer with an approximation, but they asked.
≈ 192.527 square feet
if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails
Mei runs 6 days each week.
=> Mei runs 18 days in 3 weeks.
Since she ran 92.16 miles in 18 days,
She ran 92.16 miles / 18 days
= 5.12 miles/day.