Question
Laurie was painting a picture, as shown below.
Three circles. Inside the largest circle are two smaller circles. The smaller circles touch sides with each other and they each touch a side of the larger circle. The smallest circle has a diameter of 8 cm and the larger of the two inner circles has a diameter of 14 cm.
Which measurement is closest to the area of the largest circle?
Laurie was painting a picture, as shown below.
Three circles. Inside the largest circle are two smaller circles. The smaller circles touch sides with each other and they each touch a side of the larger circle. The smallest circle has a diameter of 8 cm and the larger of the two inner circles has a diameter of 14 cm.
Which measurement is closest to the area of the largest circle?
379.94 cm2
50.24 cm2
175.84 cm2
153.86 cm2
Three circles. Inside the largest circle are two smaller circles. The smaller circles touch sides with each other and they each touch a side of the larger circle. The smallest circle has a diameter of 8 cm and the larger of the two inner circles has a diameter of 14 cm.
Which measurement is closest to the area of the largest circle?
Laurie was painting a picture, as shown below.
Three circles. Inside the largest circle are two smaller circles. The smaller circles touch sides with each other and they each touch a side of the larger circle. The smallest circle has a diameter of 8 cm and the larger of the two inner circles has a diameter of 14 cm.
Which measurement is closest to the area of the largest circle?
379.94 cm2
50.24 cm2
175.84 cm2
153.86 cm2
Answers
GPT 3.5
To find the area of a circle, you can use the formula A = πr^2, where A is the area and r is the radius of the circle.
The radius of the largest circle is half the diameter, so it is (14 cm)/2 = 7 cm.
The area of the largest circle is therefore A = π(7 cm)^2 = 49π cm^2.
To find an approximation for the area, you can use the value of π as 3.14.
49π cm^2 ≈ 49(3.14) cm^2 ≈ 153.86 cm^2.
Therefore, the measurement closest to the area of the largest circle is 153.86 cm2.
The radius of the largest circle is half the diameter, so it is (14 cm)/2 = 7 cm.
The area of the largest circle is therefore A = π(7 cm)^2 = 49π cm^2.
To find an approximation for the area, you can use the value of π as 3.14.
49π cm^2 ≈ 49(3.14) cm^2 ≈ 153.86 cm^2.
Therefore, the measurement closest to the area of the largest circle is 153.86 cm2.