If the radius of circle is increased by 110% its area is increased bya)110b)301c)341d)501Correct answer is option 'C'. Can you explain this answer?

Question

Accepted Answer

Option ( c) 341 is correct.

Explanation:-

{Let the initial radius of circle = 10 cm

Then, it's area = π r^ 2

= π (10) ^2

= 100 π cm square.

Given, (radius is increased by 110%)

New radius = ( 100+110) % of 10 cm

=> 210% of 10 cm

{ 210 /100 * 10} cm

=> 21 cm

Therefore, area of circle of radius (21) cm

=> π (21) ^2

=> 441 π cm square.

Increase in area= ( 441 π - 100 π ) cm square.
=> 341 cm square. }

Answer

Answer

Using formula

(X*X)/100 + 2*X

here X=110.

(110 * 110 ) /100 + 2*110
121+220 = 341.

Answer

To understand why the correct answer is option 'C', let's break down the problem step by step.

Given information:
- The radius of a circle is increased by 110%.

We need to find:
- By what percentage the area of the circle is increased.

Let's solve the problem using the following steps:

Step 1: Understanding the formula for the area of a circle
The formula for the area of a circle is A = π * r², where A is the area and r is the radius.

Step 2: Calculating the original area
Let's assume the original radius of the circle is 'r'.
So, the original area of the circle is A = π * r².

Step 3: Calculating the new radius
According to the given information, the radius is increased by 110%.
An increase of 110% means an addition of 110% of the original value.
So, the new radius is r + (110/100) * r = r * (1 + 110/100) = r * 2.1.

Step 4: Calculating the new area
Using the formula for the area of a circle, the new area is A' = π * (r * 2.1)² = π * 4.41 * r².

Step 5: Calculating the percentage increase in area
The percentage increase in area can be calculated using the formula:
Percentage increase = (New area - Original area) / Original area * 100.

Substituting the values, we have:
Percentage increase = (π * 4.41 * r² - π * r²) / π * r² * 100
Percentage increase = (4.41 - 1) * 100
Percentage increase = 3.41 * 100
Percentage increase = 341%

Therefore, the area of the circle is increased by 341%.

Hence, the correct answer is option 'C' (341).

Answer

Answer is wrong correct answer is 441%

Answer

Kaise aaya

Answer

A(a+200)/100
i.e. 110(110+200)/100
110*310/100
34100/100
341

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