The circumference can be obtained fairly easily by simply substituting the d in c = πd for the colony's given diameter of 12 mm. Performing that calculation using the approximation of π ≈ 3.14, we obtain a circumference of 12 x 3.14 = 37.68 mm.

To find the radius, remember how the diameter and radius of a circle are defined. The radius is a length extending from the center of a circle to a point on its circumference, and a diameter is a line extending from one point on the circle's circumference to an opposite point, passing through the circle's center along the way. The diameter can, in this way, be defined as twice the length of the radius, which means we can find the radius of a circle by taking half of its diameter. In this case, our diameter is 12 mm, so our radius would be 6 mm.

7 0

3 years ago

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?

Lorico [155]

Answer:

$\boxed{6912 units^2}$

Step-by-step explanation:

<em>Hey there!</em>

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

$\frac{3}{4}$ = $\frac{5184}{x}$

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

<em>Hope this helps :)</em>

3 0

3 years ago