Answer:
26 inches
Step-by-step explanation:
We are given;
- An inscribed circle whose area is 407 square inches
- In this case, we need to know that an inscribed in a square touches the four sides of the triangle.
- Therefore, the diameter of the circle is equivalent to the side of the square.
We are given the area as 507 square inches
But;
Area of the circle = pi × r²
Thus we can get the radius of the circle;
Thus;
507 in² = 3 × r²
r² = (507 ÷ 3)
= 169
r =√169
= 13 inches
But, Diameter = 2 r
Thus; Diameter = 2 × 13
= 26 inches
But, in this case, diameter = side of the square
Therefore, the side of the square is 26 inches
Answer:
It would be 28 degrees.
Step-by-step explanation:
To find the angle, we simply need to pick two sides. We'll use the opposite side (24) and the adjacent side (45). Using these two, we can find the answer with the Tan function.
Tanα = Opp/Adj
Tanα = 24/45
Tanα = .53333
Tan-1α = .53333
α = 28 degrees
Answer:
shogun would most likely be found. on the battlefield
