Question

The area of a circle is 36.43cm2.
Find the length of the radius rounded to 2 DP.

Answer 1

Hey ! there

Answer:

• Radius of circle = 3.40 cm

Explanation:

In this question we are given with area of circle that is 36.43 cm² . And we are asked to find the length of radius of circle rounded to two decimal points .

We know that ,

`\qquad \quad \frak{Area_((Circle)) = \pi r {}^(2) } \quad \bigstar`

Where ,

• π = 3.14

• r = radius of circle

Solution : -

According to question , area of Circle is equal to 36.43 . So ,

`\longrightarrow \qquad \: \pi r {}^(2) = 36.43`

Step 1 : Substituting value of π :

`\longrightarrow \qquad \:3.14 * r {}^(2) = 36.43`

Step 2 : Transposing 3.14 to right side :

`\longrightarrow \qquad \: r {}^(2) = \cancel{(36.43)/(3.14) }`

On dividing 36.43 by 3.14 , We get :

`\longrightarrow \qquad \: r {}^(2) = 11.60`

Step 3 : For removing square from r , We are applying root on both sides :

`\longrightarrow \qquad \: \sqrt{r {}^( 2 )} = √( 11.60)`

We get :

`\longrightarrow \qquad \:r = √(11.60)`

Step 4 : Finding square root of 11.60 , We get :

`\longrightarrow \qquad \: \purple{\underline{\boxed{\frak{r = 3.40 \: cm}}}}`

• Therefore, radius of circle is 3.40 cm

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Answer 2

• 3.40 cm

Explanation:

It is given that the area of a circle is 36.43cm² and we have to find the length of the radius.

So, first of we must know this formula :

⇒ πr² = Area(Circle)

• We will take the value of π as 3.14

Now, Substituting the given values in the formula :

⇒ 3.14 × r² = 36.43

⇒ r² = 36.43/3.14

⇒ r² = 11.60

⇒ r = √11.60

⇒ r = 3.40

Therefore,

• The radius of the circle is 3.40 cm