The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
1 answer:
Answer:
Area of the circle = π m² or 132.25 π m²
Step-by-step explanation:
To find the area, we will follow the steps below.
First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.
That is;
C = 2πr
where c is the circumference of the circle and r is the radius of the circle
From the question given, circumference C = 23π
23π = 2π r
Divide both-side of the equation by 2π
23π/2π = 2πr/2π
23/2 = r
radius = m
Formula for calculating the area of a circle is given by;
A = πr²
where A= area of the circle and r is the radius of the circle
A = π ( )²
A = π m² or 132.25 π m²
Area of the circle = π m² or 132.25 π m²
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Answer:
The dilation on any point of the rectangle is .
Step-by-step explanation:
From Linear Algebra, we define the dilation of a point by means of the following definition:
(1)
Where:
- Coordinates of the point G, dimensionless.
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Coordinates of the point G', dimensionless.
If we know that ,
and
, then scale factor is:
The dilation on any point of the rectangle is:
(2)
The dilation on any point of the rectangle is .