The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - 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




Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

Divide 26 by -2..we'll get the answer as -13.

Now, subtract 3 from both the sides.

Subtracting -13 by 3..we'll get the answer as -16.

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

Divide -16 by 2..we'll get the answer as -8.

- The correct answer is ⇨ <u>x </u><u>greater </u><u>than </u><u>or </u><u>equal</u><u> to</u><u> </u><u>-</u><u>8</u><u>.</u>
Answer:
C
Step-by-step explanation:
Line A is Parallel to Line B
Line C intersects Line A and B
Answer:
1/4 or 0.25
Step-by-step explanation: