Math, asked by prakashdhobale1972, 20 days ago

*वर्तुळकेंद्रापासून 15 सेमी दूर असलेल्या बिंदुतून काढलेल्या स्पर्शिकाखंडाची लांबी 12 सेमी आहे. तर वर्तुळाची त्रिज्या किती?*

1️⃣ 8 सेमी
2️⃣ 9 सेमी
3️⃣ 10 सेमी
4️⃣ 11 सेमी​

Answers

Answered by RvChaudharY50
20

Given :- वर्तुळकेंद्रापासून 15 सेमी दूर असलेल्या बिंदुतून काढलेल्या स्पर्शिकाखंडाची लांबी 12 सेमी आहे. तर वर्तुळाची त्रिज्या किती?*

1️⃣ 8 सेमी

2️⃣ 9 सेमी

3️⃣ 10 सेमी

4️⃣ 11 सेमी

Answer :-

we know that,

  • Tangent from an external point is perpendicular to the radius .

so, using pythagoras theorem we get,

→ radius = √(15)² - (12)²

→ radius = √(225 - 144)

→ radius = √81

→ radius = √(9)²

→ radius = 9 cm (2) (Ans.)

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