Answer:
179.25 cm squared
Step-by-step explanation:
14*10=140
3.14(5)^2=78.5/2=39.25
140+39.25=179.25
Answer:
56.52
Step-by-step explanation:
c=2
r
C=2*3.14*9
C=56.52
To help you graph this, get y alone in both equations. If you don't have a graphing calculator, use the Desmos graphing calculator online.
So, you will end up graphing this:
y=8-x
y=(34/3)-(5/3)x
They will meet at (5,3)
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm

Where r is the radius of the circle.