Answer:
The diameter of the circle is 19 m
Step-by-step explanation:
The formula of the area of a circle is A = π r², where r is its radius
<em>To find the diameter from the area of the circle equate the formula of the area by the value of the area to find r, then multiply r by 2 because the diameter of a circle is equal twice its radius</em>
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∵ The area of the circle is 90.25 π m²
∵ A = π r²
- Equate A by 90.25 π
∴ π r² = 90.25 π
- Divide both sides by π
∴ r² = 90.25
- Take √ for both sides
∴ r = 9.5
∵ The diameter of a circle is twice its radius
∴ d = 2 r
- Substitute r by 9.5
∴ d = 2(9.5)
∴ d = 19
The diameter of the circle is 19 m
The trigonometric form of the complex number given in the task content is; 18(isin(π/2)).
<h3>What is the trigonometric form of the complex number?</h3>
If follows from the task content that the complex number whose trigonometric representation is to be determined is; 18i.
Hence, It follows that the trigonometric form is;
= 18(cos(π/2) + isin(π/2)). where; cos(π/2) = 0.
Hence, we have;
= 18(isin(π/2)).
Read more on complex numbers;
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