Answer:
Given radius (R) = 13
Diameter = 2R = 26
Circumference = 2πR
= 26π
= 81.681408993335
Area = πR2
= 169π
= 530.92915845668
Step-by-step explanation:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Circle Formulas
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
Answer: The equation that represents the give situation is, y = 0.75 x + 12
Step-by-step explanation:
Here, x represents the number of batteries the child bought and y represents the total cost.
Since, the cost of one batteries = $ 0.75
⇒ The cost of x batteries = 0.75 x
The cost of one toy = $ 12
Hence, the total cost = The cost of one toy + The cost of x batteries
= y = 0.75 x + 12
Which is the required equation that represents the given situation.
Answer:
B. 9.6 %.
Step-by-step explanation:
A = P e^rt
His investment doubles so it comes to 3000 * 2 = $6000.
Substituting in the formula>
6000 = 3000e^7.2r ehere r is the interest rate.
e^7.2r = 2
Taking logs
7.2r = ln 2
r = ln2 / 7.2
r = 0.096
So the rate is 9.6%.
