For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
They are congruent by SSS. (Side-side-side)
The two outside pairs of sides are stated as congruent.
The inside side is congruent by reflective property
We have 3 congruent sides, so the triangle is congruent by SSS
Answer:
1. 9
2. -3
Step-by-step explanation:
Answer:
14.13 ft²
Step-by-step explanation:
The area of a semicircle is

We were given the radius of the semicircle to be: r=3 feet.
We were also asked to use π as 3.14.
We substitute into the formula to get:

This is the same as:

Or


The area of the semicircle is 14.13 ft²
Answer:
no.
Step-by-step explanation: