# 11. The circumference of a circular table is 88cm. Find the radius of the table.​

11. The circumference of a circular table is 88cm. Find the radius of the table.​

### 2 thoughts on “11. The circumference of a circular table is 88cm. Find the radius of the table.​”

1. Concept:

Here, we have to find the radius of the circular table if the circumference is 88 cm . To Find it we will apply the Formula of Circumference of a circle , that is 2πr . By substituting this we will get our Required Value.

Question:

• The circumference of a circular table is 88cm. Find the radius of the table.

Given:

• Circumference of a circular table = 88 cm

To Find:

• Radius of a circular table = ?

Formula Required:

• Circumference of a circle = 2πr

ㅤㅤㅤwhere,

Solution:

ㅤㅤㅤWe know,

Circumference of a circular table = 2πr

ㅤ➟ㅤ88 = 2 × 22/7 × r

ㅤ➟ㅤ88 = 44/7 × r

ㅤ➟ㅤ44/7 × r = 88

ㅤ➟ㅤr = 88 × 7 / 44

ㅤ➟ㅤr = 616/44

ㅤ➟ㅤr = 308/22

ㅤ➟ㅤr = 154/11

ㅤ➟ㅤr = 14/1

r = 14 cm

ㅤㅤㅤHence, the radius of a circular table is 14 cm

HAPPY LEARNING!!!

2. $${\large{\underline{\underline{\pmb{\sf{Question:}}}}}}$$

The circumference of a circular table is 88 cm. Find the radius of the table.

$${\large{\underline{\underline{\pmb{\sf{Required\:Answer:}}}}}}$$

The radius of the table is 14 cm.

$${\large{\underline{\underline{\pmb{\sf{Given:}}}}}}$$

The Question says that there is a circular table, which has 88 cm as its circumference.

$${\large{\underline{\underline{\pmb{\sf{To\:find:}}}}}}$$

According to the Question, we need to find the radius of the circular table.

$${\large{\underline{\underline{\pmb{\sf{Formula\:used:}}}}}}$$

To find the circumference of the circle, we use the following formula:

$${:\implies {\boxed{\sf{Circumference_{(circle)} = 2 \pi r}}}}$$

From this formula, we will find the radius of the circular table, which is our required answer.

$${\large{\underline{\underline{\pmb{\sf{Solution:}}}}}}$$

$$\sf{:\implies Circumference_{(circle)} = 2 \pi r}$$

$$\sf{:\implies 88 = 2 \times \dfrac{22}{7} \times r}$$

$$\sf{:\implies \dfrac{88}{2} = \dfrac{22}{7} \times r}$$

$$\sf{:\implies 44 = \dfrac{22}{7} \times r}$$

$$\sf{:\implies 44 \times 7 = 22 \times r}$$

$$\sf{:\implies 308 = 22 \times r}$$

$$\sf{:\implies \dfrac{308}{22} = r}$$

$$\sf{:\implies 14 = r}$$

$$\sf{:\implies r = 14}$$

$$\sf{:\implies Radius_{(Circle)} = 14\:cm}$$

Hence, the radius of the circular table is 14 cm.