A circle has a radius of 7 cm. Calculate
A circle has a radius of 7 cm. Calculate the length of an arc that subtends a central angle of 240°. (Give your answer in cm, rounded up to two decimal places; Use π = 22/7)
एक वृत्त की त्रिज्या 7 cm है। 240° का केंद्रीय कोण अंतरित करने वाले चाप की लंबाई ज्ञात कीजिए। (अपना उत्तर cm में दीजिए और दशमलव के दो स्थानों तक पूर्णांकित कीजिए; $\pi=\frac{22}{7}$ का प्रयोग कीजिए।)
Detailed Solution & Logic
Correct Answer:
29.33 cm
Length of arc = $\frac{\theta}{360}\times 2\pi r$
Given:
- Radius $r=7$ cm
- Angle $=240^\circ$
- $\pi=\frac{22}{7}$
Substitute values:
Length $=\frac{240}{360}\times 2\times \frac{22}{7}\times 7$
$=\frac{2}{3}\times 44$
$=\frac{88}{3}$
$=29.33$ cm
Final Answer: 29.33 cm
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