If from a point A which is at distance of 13 cm from the centre O of a circle of radius 5cm, the pair of tangent AB and AC to the circle are drawn, then the area of quadrilateral ABOC is
Strengthen your Class 10th Maths preparation with NCERT solutions and MCQ-based questions from Chapter 10: Circles. Practice exercise questions, short-answer problems and clear explanations to understand key concepts like tangents, chords and their properties. These resources are crafted as per the CBSE syllabus for complete exam preparation. Consistent practice will enhance your problem-solving abilities and prepare you to tackle board exams confidently. Utilize step-by-step solutions and revision notes designed to simplify learning and ensure success. Focus on mastering the properties of circles and their applications to build a strong foundation. Begin practicing today to secure excellent results in exams. Start now!
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Given:
– OA = 13 cm, OB = OC = 5 cm (radius),
– Tangent length AB = AC = √(OA² – OB²) = √(13² – 5²) = 12 cm.
Area of ΔABO = (1/2) × AB × OB = (1/2) × 12 × 5 = 30 cm².
Similarly, Area of ΔACO = 30 cm².
Total area of ABOC = 30 + 30 = 60 cm².
This question pertains to Chapter 10 of the Class 10th NCERT Mathematics textbook, specifically the chapter on “Circles.” Provide your answer in accordance with the knowledge and understanding you have gained from studying this chapter.
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