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Example . These two shapes are equivalent. Find the radius of the circle.
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Q. Example . These two shapes are equivalent. Find the radius of the circle.
- Equivalent Shapes: The shapes being equivalent means their areas are equal. Let's assume the area of the other shape is given or can be calculated.
- Area Calculation: The area of a circle is given by the formula . If the areas are equivalent, then the area of the other shape is also .
- Circle Area Formula: Let's say the area of the other shape (and thus the circle) is . We set up the equation to find the radius .
- Setting up Equation: To find , we divide both sides by : .
- Solving for Radius: Now, we take the square root of both sides to solve for : . Since radius can't be negative, we take the positive value.
- Final Step: Without the value of , we can't proceed further. We need the area of the other shape to find the radius of the circle.
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