Answer:
23 in
Step-by-step explanation:
We know the area of the circular disc is A = πr² where r = radius and π = 3.14.
So, r = √(A/π)
Now, if A = 1650 square inches,
r = √(A/π)
= √(1650 in²/π)
= √525.48 in²
= 22.92 in
≅ 22.9 in
Also, if A = 1700 square inches,
r = √(A/π)
= √(1700 in²/π)
= √541.40 in²
= 23.27 in
≅ 23.3 in
If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²
then, the radius is between 22.9 in < r < 23.3 in.
Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the area of the circular disc is 1650in², the radius r will be;
A = πr²
1650in² = 3.14 × r²
r² = 1650in² / 3.14
r² = 525.4777in²
r = √( 525.4777in² )
r = 22.9in
Also, if the area of the circular disc is 1700in², the radius r will be;
A = πr²
1700in² = 3.14 × r²
r² = 1700in² / 3.14
r² = 541.40127in²
r = √( 541.40127in² )
r = 23.3in
Next we take the average of the two radii
Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
Learn more about circles here: https://brainly.com/question/11952845
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