Answer: the area of the shaded region is 72.96 ft²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 16 feet
Radius = diameter/2 = 16/2 = 8 feet
Area of circle = 3.14 × 8² = 200.96ft²
The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + L²
256 = 2L²
L² = 256/2 = 128
L = √128 ft
Area of the square is
L² = (√128)²
Area = 128 ft²
Area of shaded region is
200.96 - 128 = 72.96 ft²
Answer:
58 degrees
Step-by-step explanation:
(x+45)+(x+66)=95
2x+45+66=95
2x+111=95
2x=95-111
2x=-16
x=-16/2
x=-8
x+66=-8+66=58
10 more than 451 would be 451 + 10 = 461.
let x be how far up the wall ladder reaches
by Pythagoras theorem
x^2+5^2=13^2
x^2 =(13^2)-(5^2)
x= square root of 144
x= 12 or x =-12(rej,x>0)
hence ladder reaches 12 foot up the wall
