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Which of the following figures have leas...

Which of the following figures have least shaded part?

A

B

C

D

Text Solution

AI Generated Solution

The correct Answer is:
To determine which figure has the least shaded part, we will analyze each option by calculating the fraction of shaded parts and converting them into decimals. ### Step-by-Step Solution: 1. **Option 1:** - Count the shaded parts: 3 shaded parts. - Count the total parts: 10 parts (3 shaded + 7 unshaded). - Calculate the fraction of shaded parts: \[ \text{Fraction} = \frac{3}{10} \] - Convert the fraction to decimal: \[ \frac{3}{10} = 0.3 \] 2. **Option 2:** - Count the shaded parts: 6 shaded parts. - Count the total parts: 12 parts (6 shaded + 6 unshaded). - Calculate the fraction of shaded parts: \[ \text{Fraction} = \frac{6}{12} \] - Simplify the fraction: \[ \frac{6}{12} = \frac{1}{2} \] - Convert the fraction to decimal: \[ \frac{1}{2} = 0.5 \] 3. **Option 3:** - Count the shaded parts: 6 shaded parts. - Count the total parts: 24 parts (6 shaded + 18 unshaded). - Calculate the fraction of shaded parts: \[ \text{Fraction} = \frac{6}{24} \] - Simplify the fraction: \[ \frac{6}{24} = \frac{1}{4} \] - Convert the fraction to decimal: \[ \frac{1}{4} = 0.25 \] 4. **Option 4:** - Count the shaded parts: 8 shaded parts. - Count the total parts: 24 parts (8 shaded + 16 unshaded). - Calculate the fraction of shaded parts: \[ \text{Fraction} = \frac{8}{24} \] - Simplify the fraction: \[ \frac{8}{24} = \frac{1}{3} \] - Convert the fraction to decimal: \[ \frac{1}{3} \approx 0.33 \] 5. **Compare the decimal values:** - Option 1: 0.3 - Option 2: 0.5 - Option 3: 0.25 - Option 4: 0.33 The least value among these decimals is **0.25** from Option 3. ### Final Answer: The figure with the least shaded part is **Option 3**.
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