Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the area of the circle. A circle has a diameters of 17 centimeters. Pi value is 3.142
​

Sagot :

Itz5151

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

  • Diameter (D) = 17 cm
  • π = 3.142

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

  • π = 3.142
  • r = radius

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

  • We know that,

[tex] \rm \: Diameter = 2(r)[/tex]

Where

  • r = radius

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

  • Area of the circle = πr²
  • Ar(circle) = π(8.5)²
  • Ar(circle) = 72.25π(Answer in terms of π)
  • Ar(circle) = 72.25 * 3.142
  • Ar(circle) = 227.0095 cm^2

loneguy

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.