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In Exercises 3-7, find the area 3. 7

In Exercises 3−73-7, find the area\newline3.3.\newline77

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Full solution

Q. In Exercises 3−73-7, find the area\newline3.3.\newline77
  1. Identify Radius of Circle: Identify the radius of the circle from the equation x2+y2=49x^2 + y^2 = 49. The equation is in the form of a circle's standard equation, x2+y2=r2x^2 + y^2 = r^2, where rr is the radius. Here, r2=49r^2 = 49. So, r=49r = \sqrt{49}. Calculate rr: r=7r = 7.
  2. Calculate Area of Circle: Use the formula for the area of a circle, A=πr2A = \pi r^2, to find the area.\newlineSubstitute r=7r = 7 into the formula.\newlineCalculate the area: A=π×72A = \pi \times 7^2.\newlineA=π×49A = \pi \times 49.
  3. Multiply by Pi to Find Area: Since π\pi is approximately 3.143.14, multiply 4949 by 3.143.14 to get the area.\newlineA=3.14×49A = 3.14 \times 49.\newlineCalculate the area: A=153.86A = 153.86.

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