Question

What is the area of this circle? Use 3.14 for π


Question 7 options:

530.66 cm squared


81.64 cm squared


2122.64 cm squared


849.56 cm squared

Answer 1

Answer:

530.66 cm squared

Step-by-step Explanation:

Diameter of the circle = 26 cm

Radius of the circle (r) = 26/2 = 13 cm

$A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2}$

Answer 2

Answer:

The area of 530.66 cm squared.

Option (a) 530.66 cm² is the correct answer.

Step-by-step explanation:

Given :

• Diameter of circle = 26 cm.

To Find :

• Radius of circle
• Area of circle

Using Formulas :

$\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}$

• R = Radius
• D = Diameter

$\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}$

• π = 3.14
• r = radius

Solution :

Finding the radius of circle by substituting the values in the formula :

${\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}$

${\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}$

${\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}$

${\longrightarrow{\sf{Radius = 13}}}$

$\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}$

Hence, the radius of circle is 13 cm.

$\rule{200}2$

Now, finding the area of circle by substituting the values in the formula :

${\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}$

${\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}$

${\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}$

${\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}$

${\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}$

${\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}$

${\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}$

$\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}$

Hence, the area of circle is 530.66 cm².

$\rule{300}{1.5}$