105k views
16 votes
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in the middle of the logo centered at (0,0). The circle passes through the point (6.3,1.6). Approximately what percentage of the logo does the circle cover?

A. 54%
B. 58%
C. 62%
D. 66%

2 Answers

11 votes

Answer:

D 66%

Explanation:

Karina is designing a logo on a coordinate plane. The logo is a square whose area-example-1
User Cherrytree
by
8.0k points
9 votes

Answer:

D

Explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;


d = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}


r = \sqrt{(6.3 - 0)^(2) + (1.6 - 0)^(2)}


r = 6.5

Now we calculate the area;


A = \pi r^(2)


A = \pi (6.5)^(2)


A = (169)/(4)\pi

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;


Percentage = (42.25\pi )/(200) * 100


Percentage = 66 (2sf)

User Ayyappan Sekar
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories