Question

A circular pond has a circumference of 628 feet. A model boat is moving directly across the pond to the center. Find the distance the boat traveled to get to the center of the pond

Answer 1

Answer:

100 feet

Step-by-step explanation:

The general formula for the circumference of a circle is:

C = 2π(r) where 'r' is the radius, or distance from the outside of the circle to the center.  Given the circumference of the pon as 628 feet, we can solve for the radius, or distance the boat traveled to the center of the pond:

628 = 2π(r)

Divide by 2: 628/2 = 2πr/2 or 314 = πr

Divide by π (3.14) = 314/3.14 = πr/3.14

solve for r: r = 100 ft

Answer 2

The distance the boat traveled to get to the center of the pond is 100 feet.

Given that,

A circular pond has a circumference of 628 feet.

A model boat is moving directly across the pond to the center.

We have to find

The distance the boat traveled to get to the center of the pond.

According to the question,

Let r be the distance the boat traveled to get to the center of the pond.

The distance the boat traveled is determined by using the formula of circumference.

$\rm Circumference = 2\pi r$

A circular pond has a circumference of 628 feet.

Then,

The distance the boat traveled to get to the center of the pond is,

$\rm Circumference = 2\pi r\\\\ 628 = 2 \times 3.14 \times r\\\\r = \dfrac{628}{2 \times 3.14}\\\\r = \dfrac{682}{6.28}\\\\r = 100$

Hence, The distance the boat traveled to get to the center of the pond is 100 feet.

To know more about Circumference click the link given below.

https://brainly.com/question/12895249