Answer:
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The area of a circle with chord length of 3√2cm is 28. 3 cm²
<h3>How to determine the area</h3>
The formula chord length of a circle is expressed as;
Chord Length = 2 × r × sin(c/2)
Where;
- r is the radius
- c is the angle formed by the chord and the circumference of the circle
- Chord length = 3√2
Let's substitute into the formula
3√2 = 2r sin 90/ 2
3√2 = 2r sin 45
3√2 = 2r × 1/ √2
2r = 3√2 ×√2/ 1
2r = 6
Make 'r' the subject
r = 6/2
r = 3cm
The formula for area of a circle is expressed as;
Area = πr²
Area = 3.142 × (3)²
Area = 3. 142 × 9
Area = 28. 3 cm²
Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²
Learn more about area here:
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If b was 3 a will be 6 because 2*3=6
and for the second part b will be 3.5 because 2*3.5=7
The answer would simplify to 1/6.
Given:
In 2010, the population of a town = 2000
Every year, it increase by 1.5%
To find the equation P(t) which represents the population of this town t years from 2010.
Formula
If a be the original population of a town and it increases by b% every year, after t year the population will be
Now,
Taking, a =2000, b = 1.5 we get,
or, 
Hence,
The population of this town t years from 2010 P(t) = 
, Option D.
