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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Math Question? (All Math Geniuses PLEASE!!!)?

I had this Math problem at school and it was very complicating

It's about finding the area of a circle in terms of radius and diameter

I have many questions

Please answer them

1. Does 1 diameter = 2 radius? (Or does it have to do anything with the units used)

2. Is this problem correct:

Diameter - 24cm

(Formula) A = piR^2

(Key) A = Area; pi = 3.14; R = Radius; ^2 = power of 2

So what i have to do is solve the problem by plugging in the diameter (24cm) in the formula, in terms of radius, and find the answer

This is where i got stuck

I believe its:

A = (3.14) 48^2

....the number 48 being the diameter converted into radius

Is that correct? What's the answer?

Isn't the radius two times as much as the diameter (like 4 diameter = 8 radius)

Is there any possible way where i could just find the Area using the diameter in a formula instead of converting it to a radius?

PLEASE HELP!!! ANSWER ALL IF YOU ARE ABLE!!!

Update:

But how is it 12 when the radius is twice as much as the diameter

Isn't it suppose to be 48 radius, since its twice as much as 24 diameter?

If not then, how is it 12 after converting from diameter to radius?

11 Answers

Relevance
  • rick r
    Lv 4
    1 decade ago
    Favorite Answer

    a=3.14(12)^2

  • 1 decade ago

    I see your mix up - A = PiR^2 right?

    Well, Area = Pi (radius squared), where you put the radius as 48. The Diameter is 24 cm, right?

    Well, in the formula, radius is only half of the diameter, so you should be using 12^2, not 48^2

    Your formula should look like this: Area = Pi(3.14) * 12^2

    That'll give you the right answer.

  • 1 decade ago

    1. if correct, the diameter is just 2 times the radius.

    2. The radius to the 2nd power is 144 (12*12)

    so the formula is A=(3.14)*144

    You cant just use diameter to find the area. The radius is just the diameter divided by 2.

  • 1 decade ago

    1. Yes, one diameter is equal to two radii, no matter what units you are using.

    2. Radius is half the diameter, not twice it (see q. 1). So the radius is 12, and A = (3.14) 12^2.

    Anytime you need to use the radius in a formula and all you have is the diameter, just use (1/2)*diameter. It is equal to the radius, so the formula will work out.

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  • 1 decade ago

    Uhm... I think the radius should be 12 because they say 2 radius mean if you want to find 1 radius you need divide the diameter by 2. Hope you can done the rest of them!

  • 1 decade ago

    no the radius is half of the diameter so if the diameter is 8 the radius is four. You have to use radius for the formula but is you correct your raius to 12 you wil have the right answer for the area.

  • :D
    Lv 4
    1 decade ago

    1. Yes 1 diameter = 2 radius.

    2. Im not for sure if that is correct, but I think it is

  • 1 decade ago

    The radius is 1/2 the diameter.

    Diameter = 4; Radius = 2.

    Now you can find the correct answer.

  • 1 decade ago

    Does 1 diameter = 2 radius?

    yes, radius is half, so 2 radius would equal 1 diameter.

    surface area=4(pi)r^2

    and if you only have radius and need diameter only, you can use x/2

  • Dave
    Lv 6
    1 decade ago

    1) The diameter is equal to TWICE the radius. d = 2*r. In other words, the radius is equal to HALF of the diameter. r = d/2.

    2) A = (3.14) * 12^2

    You went the wrong direction. You doubled the diameter, when you should have halved it.

  • 1 decade ago

    Yes, one diameter = 2 radii . So if the diameter is 24 and is equal to 2 radii, each radii is TWELVE. Somewhere you flipped it around. The diameter relation is (pi/4) d^2 = A. Just stick d/2 = r in your initial equation.

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