Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.


Which statement describes the shape of the barrier?


A.

a circle with a radius of 5 feet

B.

a circle with a diameter of 5 feet

C.

a square with sides 5 feet long

D.

a square with diagonals 5 feet long

Respuesta :

The correct option is D.

a square with diagonals 5 feet long

The barrier is shaped like a circle with a 5 feet in diameter.

How to determine the shape of the barrier?

Given that

The tomato plant is 2.5 feet away from the barrier on all sides.

This is equal to a circle with a 2.5 foot radius.

Remember that a circle's radius is its distance from any point on the circle's circumference to its centre

If a circle's radius is 2.5 feet, its diameter will 5 feet.

Hence the barrier is circle shape.

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The shape of the barrier is a circle with a diameter of 5 feet

correct option is : b) a circle with a diameter of 5 feet.

Determining shape

From the question, we are to determine the statement that determines the shape of the barrier

From the given information,

The barrier is 2.5 feet from the tomato plant in all directions

this is similar to a circle that has a radius of 2.5 feet.

We know that,

Radius of circle is the distance from the centre of the circle to any point on its circumference.

If radius of the circle is 2.5 feet then the diameter would be

2r = 2 * 2.5

2r = 2 * 2.5 = 5 feet

Hence, the shape of the barrier is a circle with a diameter of 5 feet

The correct option is b) A circle with a diameter of 5 feet.

Learn more about circles at : https://brainly.in/question/6533500

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