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2 years ago

Over time, the city grows and expands. The diameter of the city doubles, so it is now 6 miles wide with a 3-mile radius.

Mathematics

1 answer:

koban [17]2 years ago

6 0

The perimeter of the circle is 18.84 miles and area of the circle is 28.26 miles square.

<h3>What is the perimeter of the circle?</h3>

The perimeter of the circle that has a radius of r is defined as the product of diameter to the pie value.

The perimeter of the circle = 2πr

The perimeter of the circle = 2 (3.14) (3)

The perimeter of the circle = 18.84 miles

Also,

The area of the circle =πr^2

= 3.14 (3)^2

= 28.26 miles square

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You might be interested in

Which expression is equivalent to...? Assume... screenshots attached, please help!

larisa [96]

Answer:

$\frac{\sqrt[3]{5} }{3x}$

Step-by-step explanation:

Ok, let's do this step by step....

$\sqrt[3]{\frac{10x^{5} }{54x^{8} } }$

Let's first simplify the x's:

$\sqrt[3]{\frac{10}{54x^{3} } }$

Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.

$\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }$

Now, we can rewrite this as the following and solve the bottom part:

$\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}$

The solution is

$\frac{\sqrt[3]{5} }{3x}$

8 0

4 years ago

James defines a circle as the set of all the points equidistant from a given point. His statement is not precise enough because

lana66690 [7]

A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Center

Radius

Diameter

Points in a plane

The complete question is as follows:-

James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough

because he should specify that

A circle includes its diameter

The set of points is in a plane

A circle includes its radius

The set of points is collinear

<h3>What is a circle?</h3>

A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

the set of points on a line

the set of points in a plane

the set of points in a region

Etc

Of these numerous possible interpretations, James should have specified that the set of points is in a plane

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4 0

2 years ago