question 2

[bacali]

On an aerial photograph, the surface of a pond appears as circular region of radius 7/16 inch. If a distance of 1 inch on the photograph corresponds to an actual distance of 2 miles, which of the following is the closest estimate of the actual surface area of the pond, in square miles?

A. 1.3
B. 2.4
C. 3.0
D. 3.8
E. 5.0

oa: b

[sudhir3127]

On an aerial photograph, the surface of a pond appears as circular region of radius 7/16 inch. If a distance of 1 inch on the photograph corresponds to an actual distance of 2 miles, which of the following is the closest estimate of the actual surface area of the pond, in square miles?

A. 1.3
B. 2.4
C. 3.0
D. 3.8
E. 5.0

oa: b

7/16th inch which is equal to 7/8miles in actual distance

thus surface area
pi* r^2

3* 49/ 64 ~ 2.4

thus B

hope that helps..

[bhumika.k.shah]

Isnt the surface area of a circle =circumference of the circle= 2*pie*r?

And area of the circle = pie*r^2

[thephoenix]

Isnt the surface area of a circle =circumference of the circle= 2*pie*r?

And area of the circle = pie*r^2

no here perimeter of the pond will be circumference of a circle
but surface area will be the area of a circle

[bhumika.k.shah]

how would it strike to me in the exam tht i need to take the area of a circle's formula to find the surface area instead of whaat i did by taking the circumference of a circle's formula..?
how would i know that the circumference in this case would be the perimeter of the pond ?

[djkvakin]

how would it strike to me in the exam tht i need to take the area of a circle's formula to find the surface area instead of whaat i did by taking the circumference of a circle's formula..?
how would i know that the circumference in this case would be the perimeter of the pond ?

]Because circumference is the "perimeter" of the circle. The area is Pi*R^2.

[kunal_kc]

i did the by the following way -:

first find the area: pie x 49/256

and then multiply by the area by 2 to get in miles, and my answer is coming A

comments please

[djkvakin]

i did the by the following way -:

first find the area: pie x 49/256

and then multiply by the area by 2 to get in miles, and my answer is coming A

comments please

Since the area is in square units, you need to multiply the area by the factor of 2^2, not 2.
If you do this, you will get Pi * 49*4/256 = ~2.4

[kunal_kc]

Thanks DJ, appreciate your help.

[thephoenix]

how would it strike to me in the exam tht i need to take the area of a circle's formula to find the surface area instead of whaat i did by taking the circumference of a circle's formula..?
how would i know that the circumference in this case would be the perimeter of the pond ?

FOR 2 D's figure that is triangle,square ,rect,rhom,paralleogram,circle......etc

circumference is perimeter
and surface area is nothing but area

for 3 D,s such as
cube , cuboid, spehere,cone,cylinder

we have surface area , lateral surface area , and volume

apart from that check the units perimeter/circumference=m,cm,km
area=m^2,cm^2
vol=m^3,cm^3