158k views
3 votes
If the radius (r) of a circle is 2.38 (to 1 decimal place), what is the area (A) of the circle?

A) A = 4.7
B) A = 7.1
C) A = 17.8
D) A = 4.6

User Kesselhaus
by
8.1k points

2 Answers

5 votes

Final answer:

To find the area of a circle with radius 2.38, the formula A = πr² gives an approximate result of 17.8 square units when rounded to one decimal place, making option C) A = 17.8 the correct answer.

Step-by-step explanation:

To calculate the area of a circle, you can use the formula A = πr², where π (pi) is approximately 3.14159 and r is the radius of the circle. In this case, the radius is given as 2.38 to one decimal place. Therefore, plugging the values into the formula, we get:

A = π × (2.38)²
= 3.14159 × (2.38 × 2.38)
= 3.14159 × 5.6624
= 17.7914 (to four decimal places)

Since the question suggests that we should give the answer to one decimal place and considering that the radius is given to one decimal place, we should round the calculated area to one decimal place as well. Thus, the area of the circle is approximately 17.8 square units. This means the correct option is C) A = 17.8.

User Dodolong
by
7.9k points
2 votes

Answer:

C

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given r = 2.38 , then

A = π × 2.38² = π × 5.6644 ≈ 17.8 units² ( to 1 decimal place )

User Trenccan
by
7.5k points