Answer:




Step-by-step explanation:
<u>Given information</u>



<u>Derived expression from the given information</u>
<em>Presumably, I think this is a combination of segments</em>

<u>Substitute values into the given expression</u>

<u>Combine like terms</u>
<em>The following is the expression</em>

<u>Subtract 3 on both sides</u>


<u>Subtract x on both sides</u>


<u>Substitute the x value into corresponding expressions to determine the final value</u>


Hope this helps!! :)
Please let me know if you have any questions
2222222222222222222222222222222222222222222222222224
Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5
By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1
Area of outer circle =

Area of large shaded circle =

Area of 4 small shaded circles =

Total area of shaded circles =

Shaded area as a fraction of that of the outer circle
1 = 51
2= 61
3= 29
Step-by-step explanation:
1) 61+68= 129
180-129= 51
2) 61 is across it so they have the same number
3) 61 +90= 151
180-151= 29