Class X Session 2023-24 Question 15
MATH SAMPLE QUESTION PAPER
Class X Session 2023-24
MATHEMATICS STANDARD (Code No.041)
Question 15
It is proposed to build a new circular park equal in area to the sum of areas of two circular
parks of diameters 16 m and 12 m in a locality. The radius of the new park is
(a) 10m
(b) 15m
(c) 20m
(d) 24m
Explanation :
we first need to calculate the areas of the two circular parks with diameters of 16 m and 12 m, respectively.Then, we can find the sum of these areas.
Let's calculate
To find the radius of the new park with an area equal to 100𝜋m^2 , we use the formula for the area of a circle
=> Total area = 𝜋 r^2
=> 100𝜋 = 𝜋r^2
=> Or r^2 = 100
=> Or r = 10 m
The diagram below will appear if we take into consideration circles with diameters of 16 m for r1 and 12 m for r2.
Guess the Option and comment below 👇
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