Answer:
This question is incomplete, it lacks the diagram illustrating the circle and the options. The diagram has been attached. These are the options:
a. 10 pie cm2
b. 16 pie cm2
c. 356 pie cm2
d. 676 pie cm2
The answer is D
Explanation:
The area of a circle is calculated by using the formula: πr^2, where r is the radius
According to the diagram in the attachment consisting of two circles; a small circle of radius GY=10cm and a large circle of radius YX=16cm.
Hence, Marco wants to create a new circle by using a radius GX i.e. the length of the line GX, which can be derived by adding GY + YX i.e. 10cm + 16cm = 26cm.
Therefore, GX is 26cm, meaning the radius of Marco's new circle will be 26cm.
To find the area of this new circle, we use the formula: πr^2, where r = radius = 26cm
Hence, Area = π × 26^2
26^2 = 26 × 26 = 676
π × 676
= 676π
Area of new circle= 676π squarecentimetres(cm2)