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Oliga [24]
3 years ago
9

A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.1

4 for pie
Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

According to this description the area A of the disc is:

1650in^{2}

On the other hand, the area of a circumference is given by the following equation:

A=\pi r^{2}   (1)

Where r is the radius.

If we want to know the possible lengths of r for the circular disc, we will have to apply equation (1) for both areas:

For A=1650in^{2}:

1650in^{2}=3.14 r^{2}  

r=\sqrt{\frac{1650in^{2}}{3.14}}  

r=22.91 inches  

For A=1700in^{2}:

1700in^{2}=3.14 r^{2}  

r=\sqrt{\frac{1700in^{2}}{3.14}}  

r=23.26 inches  

Therefore the radius could be 22.91 inches or 23.26 inches

levacccp [35]3 years ago
5 0

<u>Answer:</u>

22.92 inches ≤ r ≤ 23.27 inches

<u>Step-by-step explanation:</u>

We are given that the area of a circular disk has an area measuring between 1650 and 1700 square inches and we are to find the possible length of the its radius.

We know that  the area of a circle is equal is given by \pi r^2.

<u>Finding radius for 1650:</u>

<u>r=\sqrt{\frac{1,650}{3.14}}=22.92\ in</u>

<u>Finding radius for 1700:</u>

r=\sqrt{\frac{1,700}{3.14}}=23.27\ inches

Therefore, 22.92 inches ≤ r ≤ 23.27 inches.

<u />

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