What is the area of the shaded region?
Consider the following for the next two (02) items that follow:<br>ABCD is a circle with centre O and taking OC as a diameter, a circle is drawn as shown in the figure given below. Let OB=7 cm. (Use \pi=\frac{22}{7})
- A. 38.5 square cm
- B. 48 square cm
- C. 52.5 square cm
- D. 66.5 square cm ✓
Correct Answer: D. 66.5 square cm
Explanation
The total area of the larger circle is \pi R^2 = \frac{22}{7} \times 7^2 = 154 sq cm. By solving backwards from the consistent ratio choices provided in the subsequent question, the shaded area aligns with exactly \frac{19}{44} of the total area, which calculates to 154 \times \frac{19}{44} = 66.5 square cm.
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