From the given figure, find the length of the major arc AB Option 1: 20 cms Option 2: 11 cms Option 3: 44 cms Option 4: 33 cms

Answer: 33 cms. Solution: From the figure, radius r = 7 cm and the central angle for minor arc AB = 90°. The major arc spans: = 360° - 90° = 270° Using the arc length formula: Arc Length = ()/(360°) x 2 r = 270/360 x 2 x 22/7 x 7 = 3/4 x 2 x 22 = 3/4 x 44 = 33 cm

Geometry

Circles

Easy

From the given figure, find the length of the major arc AB

20 cms

11 cms

44 cms

33 cms

✅ Correct Option: 4

From the figure, radius $r = 7$ cm and the central angle for minor arc $AB = 90°$ .

The major arc spans:

$\theta = 360° - 90° = 270°$

Using the arc length formula:

$\text{Arc Length} = \dfrac{\theta}{360°} \times 2\pi r$

$= \dfrac{270}{360} \times 2 \times \dfrac{22}{7} \times 7$

$= \dfrac{3}{4} \times 2 \times 22$

$= \dfrac{3}{4} \times 44$

$= 33$ cm

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