Find The Area Of A Circle Whose Diameter Is 10 M

Find the area of a circle whose diameter is 10 m

  Answer:

Area=78.54 m^{2}

Step-by-step explanation:

Step 1: Write the given

Diameter= 10 m

Step 2: Identify the formula for the area of circle

In terms of radius of a circle:

Area=\pi (radius)^{2}

In terms of diameter of a circle:

diameter= 2*radius\\ radius=\frac{diameter}{2} \\ Area=\pi (\frac{diameter}{2})^{2} \\ Area=\frac{\pi }{4} *(diameter)^{2}

Step 3: Use the formula to find the area of a circle

Area=\frac{\pi }{4} (10m)^{2}Area=25\piArea=78.54 m^{2}

Therefore, the area of circle with diameter of 10 is 78.54 m^{2}.

In solving for area of a circle using circumference, the derived equation below can be utilized.

Circumference of a circle is equivalent to 2\pi (radius) or \pi (diameter)In terms of radius: Area of circle= (circumference)(\frac{radius}{2})In terms of diameter: Area of circle= (circumference)(\frac{diameter}{4})

Additional practice problems and reference:

brainly.ph/question/301002

brainly.ph/question/110314

brainly.ph/question/1232515

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