Question
Download Solution PDFएक वृत्त के एक त्रिज्यखंड का क्षेत्रफल 66 सेमी2 है और त्रिज्यखंड का कोण 60° है। वृत्त की त्रिज्या ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक वृत्त के एक त्रिज्यखंड का क्षेत्रफल 66 सेमी2 है और त्रिज्यखंड का कोण 60° है।
प्रयुक्त अवधारणा:
त्रिज्यखंड का क्षेत्रफल = πr2 × θ/360°
θ = त्रिज्यखंड का कोण
r = त्रिज्या
गणना:
प्रश्न के अनुसार,
\(\rm\frac{60^o}{360^o} × π r^2\) = 66
⇒ πr2 = 66 × 6
⇒ 22/7 × r2 = 6 × 11 × 6
⇒ r2 = 126
⇒ r = 3\(\sqrt14\) सेमी
इसलिए, त्रिज्या = 3\(\sqrt14\) सेमी
∴ वृत्त की त्रिज्या 3\(\sqrt14\) सेमी है।
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