Question 1 - Past Year MCQ - Chapter 11 Class 10 Areas related to Circles

Last updated at July 19, 2026 by

If the area of a circle is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm, then diameter of the larger circle (in cm) is

(A) 34Ā 

(B) 26

(C) 17Ā 

(D) 14

Ā 

This question is similar to Question 12 - NCERT Exemplar - MCQ - Chapter 12 Class 10 Areas related to Circles

[MCQ] - If the area of a circle is equal to the sum of areas of two - Past Year MCQ

part 2 - Question 1 - Past Year MCQ - Serial order wise - Chapter 11 Class 10 Areas related to Circles

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 5 questions, selected from your answers, mistakes, and progress.
Remove Ads

Transcript

Question 1 If the area of a circle is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm, then diameter of the larger circle (in cm) is (A) 34 (B) 26 (C) 17 (D) 14 Now, Area of 5 cm circle + Area of 12 cm circle = Area of circle with radius r šœ‹(5)2 + šœ‹(12)2 = šœ‹r2 52 + (12)2 = r2 25 + 144 = r2 169 = r2 r2 = 169 r = āˆš169 r = āˆš("132" ) r = 13 cm Thus, Diameter = 2 Ɨ 13 = 26 cm So, the correct answer is (B)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.