Answer:
Step-by-step explanation:
Big circle:
R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm
Area of big circle= πR²
[tex]=\dfrac{22}{7}*21*21=22*3*21\\\\\\= 1386 \ cm^{2}[/tex]
Small circle:
Diameter of small circle = radius of big circle = 21 cm
r = 21/2 = 10.5 cm
Area of small circle = πr²
[tex]=\dfrac{22}{7}*10.5*10.5 = 22 * 1.5*10.5\\\\\\= 346 .5 \ cm^{2}[/tex]
Area of shaded region = area of big circle - area of small circle
= 1386 - 346.5
= 1039.5 cm²
