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6 answers

the area is equal to 497859.1972 km^2. Done on calculator using pi to more than two decimal places.

2500/pi/2=radius
radius^2*pi=area

2006-12-06 07:07:54 · answer #1 · answered by Demonspawn 2 · 0 0

if you mean surface area the answer is simple. C= 2500km, using the formula C=pi*d, we can solve for d (diameter). Therefore d = C/pi = 2500/3.141592...... = 795.775 km. Now the radius is just half of that r = d/2 = 397.887km and our formula for area is A=pi*r^2, so A= pi*(397.887)^2 = 497,359 km. Alternately a shortcut to this can be done by re-arranging our formulas, so ultimately A=(C^2)/(pi*4)= 497,359 km. The proof of this formula is simple substitution and is left as an exercise for you.

2006-12-06 06:41:18 · answer #2 · answered by red12saleen 2 · 0 0

FOrmula for circumference = C = 2 x pi x r

Area = pi x r^2

from 1st eq r = c / (2 x pi) = 2500 / ( 2 x pi) = 397.9 km

A = pi x 397.9^2 = 497359 km^2

2006-12-06 06:32:54 · answer #3 · answered by Leonardo D 3 · 0 0

As long as he typed it into the computer correctly that is right.

C = 2 * Pi * R
Solve for R
R = C / (2 * Pi)

A = Pi * R^2
A = Pi * (C/(2 * Pi))^2

2006-12-06 06:34:29 · answer #4 · answered by Tedo 3 · 0 0

Find the radius

C = 2 π r

C / 2π = r. . .Use this formula

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2500 / 2π = r

2500/2(3.141592654) = r

2500 / 6283185307 = r

397,8873577 Km

The answer is 397.89 km Rounded to two decimal places.

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Find area

A = π r²

A = 3.141592654(397.89)²

A = 3.141592654((158316.4521)

A = 497365.8029 Km²

The answer A = 497365.80km ² Rounded to two decimal places.

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2006-12-06 07:24:00 · answer #5 · answered by SAMUEL D 7 · 0 0

r=2500/2*3.14
area=pir^2 =pi(2500/2*pi)^2
=497611.5 km^2

2006-12-06 06:32:02 · answer #6 · answered by raj 7 · 0 0

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