If the diameter of a drilled hole is 0.875 inch, what is the radius to the nearest thousandth of an inch?
The Correct Answer and Explanation is:
To find the radius of a drilled hole with a given diameter of 0.875 inches, we need to remember that the radius is simply half of the diameter. This is because the diameter spans from one edge of the circle to the other, passing through the center, while the radius is the distance from the center of the circle to any point on the edge.
Calculation:
The formula to find the radius rrr from the diameter ddd is:r=d2r = \frac{d}{2}r=2d
Given that the diameter d=0.875d = 0.875d=0.875 inches, we can substitute this into the formula:r=0.8752=0.4375 inchesr = \frac{0.875}{2} = 0.4375 \, \text{inches}r=20.875=0.4375inches
Final Answer:
The radius of the hole is 0.438 inches when rounded to the nearest thousandth.
Explanation:
- The radius of a circle is half of its diameter, which is the basic geometric relationship between these two measurements.
- In this case, the diameter is 0.875 inches, so by dividing it by 2, we get the radius as 0.4375 inches.
- To express the radius to the nearest thousandth, we round the value 0.4375 to 0.438. This rounding is done because the value in the thousandth place is 5 or greater, which means we round up.
Thus, the radius of the drilled hole is 0.438 inches.
