Answer :
The uppercase A = one-half a p, the equation for 'a' is: a = 2A/p
To solve for a in the equation "uppercase A = one-half a p," we need to isolate a on one side of the equation.
First, we can multiply both sides of the equation by 2 to eliminate the fraction:
2(uppercase A) = 2(1/2 ap)
Simplifying, we get:
2(uppercase A) = ap
Next, we can divide both sides of the equation by p:
(2(uppercase A))/p = a
Therefore, the equation solved for a is:
a = (2(uppercase A))/p
This equation tells us that if we know the value of uppercase A and p, we can solve for the value of a.
It's worth noting that the equation we derived assumes that uppercase A represents the area of a circle, and p represents the circumference of that circle.
This is because the formula for the area of a circle is A = (1/2)pr^2, where r is the radius of the circle.
By rearranging this formula, we get A = (1/2)rp, which is equivalent to the equation we started with, since r = a/2.
The equation solved for a is a = (2(uppercase A))/p.
a = 2A/p
For similar question on uppercase:
Question:
The formula for the area of a regular polygon is, A = (a × p)/2, and the equation solved for a is, a = (2 × A)/p, where a is the apothem and p is the perimeter of the regular polygon. Uppercase A = one-half a p. What is the equation solved for a?
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