Geography College

A circle is centered at the origin with a radius of 3 units what is the equation for the circle?

Answers

Answer 1

the equation for a circle centered at the origin with a radius of 3 units is x^2 + y^2 = 3^2, which can be simplified to x^2 + y^2 = 9.

A circle is centered at the origin with a radius of 3 units. The equation for this circle can be written in standard form as x^2 + y^2 = r^2, where (0, 0) is the center of the circle and r is the radius of the circle. Substituting the values given, the equation becomes x^2 + y^2 = 3^2.

The equation of a circle in standard form is written as (x - h)^2 + (y - k)^2 = r^2,

where (h, k) is the center of the circle and r is the radius of the circle.

Since the given circle is centered at the origin, (h, k) = (0, 0).

Substituting these values, the equation becomes x^2 + y^2 = r^2.

The radius of the given circle is 3 units, so r = 3. Substituting this value in the equation, we get x^2 + y^2 = 3^2.

In conclusion, the equation for a circle centered at the origin with a radius of 3 units is x^2 + y^2 = 3^2, which can be simplified to x^2 + y^2 = 9.

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Related Questions

ways used by developing countries to cope with population growth

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In developing countries, the population is growing at an alarming rate. In order to cope with this issue, the following measures are adopted: encouragement of birth control measures,  Improved health care facilities,  Improvement in education facilities, Introduction of family planning and  Promotion of female education.

1. Encouragement of birth control measures: The government of developing countries is encouraging people to use birth control measures. By educating people on the advantages of birth control, they are reducing the population growth rate.

2. Improved health care facilities: The government of developing countries is improving the health care facilities in their country. This is to make sure that the death rate is reduced, and people can live a longer life. The longer people live, the fewer children they will have.

3. Improvement in education facilities: By improving the education facilities in their country, the government of developing countries is trying to reduce the population growth rate. The more people are educated, the fewer children they will have.

4. Introduction of family planning: The government of developing countries is introducing family planning programs to the people. By introducing family planning, they are trying to reduce the population growth rate.

5. Promotion of female education: In developing countries, there is a notion that women should only be housewives. But the government of developing countries is promoting female education. By promoting female education, they are trying to reduce the population growth rate. As educated women tend to have fewer children.These are some of the ways used by developing countries to cope with population growth.

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