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
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.