Answer:
=>The area of the larger circle is 16π
=>The area of 1 small circle is 4π
=>The total area of the two small circles will be one-half of the area of the large circle
Step-by-step explanation:
To find out which statements are true about the areas of the given circle, let's find out dimensions and areas of the 3 circles:
==>Large circle (A):
diameter = 8
radius (r) = ½ × 8 = 4
Area = πr² = π4² = 16π
Area of Circle A = 16π
==>Small circles (B and C):
Diameter of 1 small circle = ½ of diameter of big circle A
Therefore, d of small circles = ½×8 = 4
Radius of small circles = ½d = ½×4 = 2
Area of the 2 small circles = 2(πr²)
= 2(π2²)
= 2(π4)
Area of 2 small circles = 8π
Area of 1 small circle = 4π
From our calculation the statements that would be true are:
=>The area of the larger circle is 16π
=>The area of 1 small circle is 4π
=>The total area of the two small circles will be one-half of the area of the large circle (8π/16π = ½). I.e. area of 1 big circle is twice that of the total area of the 2 small circles (2 × 8π).
Answer:
A, B, and E
Step-by-step explanation:
I'm doing the exam review hope this helps!
