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
Answer:
B. AC = 22, BC = 22, AB = 44
C. AC = 30, BC = 30, AB = 60
Step-by-step explanation:
B.
at C. (given)
(perpendicular dropped from the center of the circle to the chord bisects the chord)
AB = AC + BC = 22 + 22 = 44
C.
at C. (given)
(perpendicular dropped from the center of the circle to the chord bisects the chord)
AB = AC + BC = 30 + 30 = 60
No it's over : 7.3 , unless your prompts context is close to as in getting there or close in general?
Answer:426m^2
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
