Question

Use the diagrams to answer the following questions Number 9

Answer 1

GIVEN:

We are given the circle with radius 5 units as shown in diagram number 9.

Required;

To determine the

(a) Diameter

(b) Circumference

(c) Area

Step-by-step solution;

The diameter of any given circle is twice the length of the radius.

This means for the circle given, we have;

`\begin{gathered} Radius=5 \\ \\ Diameter=2* R \\ \\ Diameter=2*5 \\ \\ Diameter=10 \end{gathered}`

The circumference of a circle is given by the formula;

`C=2\pi r`

Taking the value of pi as,

`\pi=3.14`

We now have the circumference as;

`\begin{gathered} C=2*3.14*5 \\ \\ C=31.4\text{ }units \end{gathered}`

The area of a circle is given by the formula;

`A=\pi r^2`

Therefore, we now have;

`\begin{gathered} A=3.14*5^2 \\ \\ A=3.14*25 \\ \\ A=78.5\text{ }units^2 \end{gathered}`

ANSWER:

`\begin{gathered} Diameter=10\text{ }units \\ \\ Circumference=31.4\text{ }units \\ \\ Area=78.5\text{ }units^2 \end{gathered}`