The figure shows a 34\frac{3}{4} circle of radius 14 cm. Find the perimeter of the figure. (Take π=227\pi = \frac{22}{7}) Ans: ___ cm

Area of a circle中文
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1. Calculate the arc length of the 3/4 circle

Arc length=34×2×π×r\text{Arc length} = \frac{3}{4} \times 2 \times \pi \times r
Arc length=34×2×227×14\text{Arc length} = \frac{3}{4} \times 2 \times \frac{22}{7} \times 14
Arc length=34×2×22×2\text{Arc length} = \frac{3}{4} \times 2 \times 22 \times 2
Arc length=34×88=66 cm\text{Arc length} = \frac{3}{4} \times 88 = 66 \text{ cm}

2. Calculate the total perimeter of the figure

Perimeter=Arc length+2×radius\text{Perimeter} = \text{Arc length} + 2 \times \text{radius}
Perimeter=66+14+14=94 cm\text{Perimeter} = 66 + 14 + 14 = 94 \text{ cm}

Answer

9494

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