Question
Download Solution PDFएक वृत्त के एक त्रिज्यखंड का क्षेत्रफल 308 सेमी2 है, जिसके केंद्रीय कोण की माप 45° है। वृत्त की त्रिज्या कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक वृत्त के एक त्रिज्यखंड का क्षेत्रफल 308 सेमी2 है।
त्रिज्यखंड का कोण 45° है।
प्रयुक्त अवधारणा:
त्रिज्यखंड का क्षेत्रफल = πr2 × θ/360°
θ = त्रिज्यखंड का कोण
r = त्रिज्या
गणना:
प्रश्नानुसार,
⇒ πr2 = 308 × 8
⇒ 22/7 × r2 = 2464
⇒ r2 = 784
⇒ r = 28 सेमी
इसलिए, त्रिज्या = 28 सेमी
∴ वृत्त की त्रिज्या 28 सेमी है।
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