Area of a circle radius 35cm.
Answer
665.7k+ views
Hint: As the radius of circle is given, so find its area using formula \[\text{Area = }\pi {{\text{r}}^{\text{2}}}\] where r represents radius of the circle and $\pi $ is either $\dfrac{22}{7}\Rightarrow 3.14$
Complete step-by-step answer:
In the question, we are given a particular length of radius of the circle and we have to find the area of the circle.
So, before proceeding, let us know something about circles.
A circle is a simple closed curve that divides the given plane into two regions, interior and exterior. The distance between any point on the circumference of the circle and the center of the circle is called the radius. A circle is a shape consisting of all points in a plane that are at a given distance from a given point the center, equivalently it is called the curve traced out by a point that moves in a plane, so that its distance from a given point is constant. A circle may also be defined as a special kind of ellipse in which two foci are coincident and the eccentricity is 0 or the two dimensional shape enclosing the most area per unit perimeter squared, using calculus of variations.
We can find the area of the circle using formula, \[A=\pi {{r}^{2}}\] where r represents the radius of the circle whose area needs to be find out and the value of \[\pi \text{ is }\dfrac{22}{7}\Rightarrow 3.14\]
So, here the given radius is 35cm, thus the \[\text{Area of the circle = }\pi \times {{\left( 35 \right)}^{2}}\Rightarrow \dfrac{22}{7}\times 1225\] it can also be calculated as \[22\times 175\Rightarrow 3850c{{m}^{2}}\]
Thus, the area is \[3850c{{m}^{2}}\].
Note: The area of circle is $\pi {{r}^{2}}$ when radius of circle is given, but if diameter of circle is given and represented as d, then the area of circle will be $\dfrac{\pi {{d}^{2}}}{4}$ as diameter is twice the radius of circle.
Complete step-by-step answer:
In the question, we are given a particular length of radius of the circle and we have to find the area of the circle.
So, before proceeding, let us know something about circles.
A circle is a simple closed curve that divides the given plane into two regions, interior and exterior. The distance between any point on the circumference of the circle and the center of the circle is called the radius. A circle is a shape consisting of all points in a plane that are at a given distance from a given point the center, equivalently it is called the curve traced out by a point that moves in a plane, so that its distance from a given point is constant. A circle may also be defined as a special kind of ellipse in which two foci are coincident and the eccentricity is 0 or the two dimensional shape enclosing the most area per unit perimeter squared, using calculus of variations.
We can find the area of the circle using formula, \[A=\pi {{r}^{2}}\] where r represents the radius of the circle whose area needs to be find out and the value of \[\pi \text{ is }\dfrac{22}{7}\Rightarrow 3.14\]
So, here the given radius is 35cm, thus the \[\text{Area of the circle = }\pi \times {{\left( 35 \right)}^{2}}\Rightarrow \dfrac{22}{7}\times 1225\] it can also be calculated as \[22\times 175\Rightarrow 3850c{{m}^{2}}\]
Thus, the area is \[3850c{{m}^{2}}\].
Note: The area of circle is $\pi {{r}^{2}}$ when radius of circle is given, but if diameter of circle is given and represented as d, then the area of circle will be $\dfrac{\pi {{d}^{2}}}{4}$ as diameter is twice the radius of circle.
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