The formula for calculating the area of a circle is expressed as;
A = πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
Answer:
EA, EB, EC and ED are opposites rays.
Step-by-step explanation:
Given that,
Line AB and line CD intersect at point E.
According to figure,
We need to find opposite rays
Using diagram
We draw a first line AB and second line CD which is intersect of AB at point E.
Now, EA and EB is called opposite ray of first line AB.
Similarly,
EC and ED is called opposite ray of first line CD.
Hence, EA, EB, EC and ED are opposites rays.
