A baseball diamond is a square with sides of 90 feet how far is it from home plate to second base round to the nearest whole number 

The distance from home plate to second base on a baseball diamond, which is a square with 90-foot sides, can be found using the Pythagorean theorem. Since the diamond is a square, the line from home plate to second base forms the diagonal of the square.

The Pythagorean theorem states:

\[
c = \sqrt{a^2 + b^2}
\]

where \( c \) is the diagonal (the distance from home plate to second base), and \( a \) and \( b \) are the sides of the square.

Given:

- \( a = 90 \) feet
- \( b = 90 \) feet

Plugging in the values:

\[
c = \sqrt{90^2 + 90^2} = \sqrt{8100 + 8100} = \sqrt{16200}
\]

Calculating the value:

\[
c \approx \sqrt{16200} \approx 127.28 \text{ feet}
\]

Rounding to the nearest whole number:

\[
c \approx 127 \text{ feet}
\]

So, the distance from home plate to second base is approximately **127 feet**.

Would you like more details or have any other questions? Here are some related questions you might find interesting:

1. What is the distance between first base and third base on a baseball diamond?
2. How can you calculate the area of the baseball diamond?
3. If the bases are laid out in a circle, how would you calculate the circumference?
4. How does the distance from home plate to the pitcher's mound compare to the diagonal distance of the square?
5. How would you calculate the distance between the pitcher's mound and second base?

**Tip:** When dealing with squares, remember that the diagonal can be found by multiplying the side length by \(\sqrt{2}\).

A baseball diamond is a square with sides of 90 feet how far is it from home plate to second base round to the nearest whole number

Find out how to calculate the distance from home plate to second base on a baseball diamond, using the Pythagorean theorem. The diamond is a square with 90-foot sides, and the solution explains how to find the diagonal distance, rounded to the nearest whole number. Ideal for students in Grades 7-10.

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