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kipiarov [429]
3 years ago
15

Determine (a) the area and (b) the circumference of the circle.

Mathematics
1 answer:
Inga [223]3 years ago
3 0

Step-by-step explanation:

<h2>a).</h2>

To find the area of the circle we must first find the radius using the formula

radius = diameter / 2

From the question

diameter = 21 ft

The radius is

21/2 = 10.5 ft

Area of a circle = πr²

where r is the radius

Area = π(10.5)²

= 110.25π

<h3>= 346.36 cm²</h3>

<h2>b).</h2>

Circumference of a circle = πd

where d is the diameter

Circumference = π(21)

<h3>= 65.97cm</h3>

Hope this helps you

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Scientific notation uses expression which gives easy access of order. The greatest number is 5.5 \times 10^5 .It is greater by smallest number by 500  times.

<h3>How to convert a number to scientific notation?</h3>

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This notation is used to get some idea of how large or small a number is in terms of power of 10.

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If we have a^bbase and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}

The given numbers are:

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  • Second number = 5.5 \times 10^5 = 550000
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The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\dfrac{5.5 \times  10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500

Thus, it is found that greatest number is 5.5 \times 10^5 . It is greater by smallest number by 500  times.

Learn more about scientific notation here:
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