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4. ( D ), 5. ( A ), 6. ( D )

Step-by-step explanation:

4. Length AC will cover 2 / 5th of the total circumference of this circle in any possible way, as this polygon is named in the order ABCDE, alphabetical wise.

2πr

= 2π(20) = 40π : Circumference of Circle,

2 / 5(40π) = 16π : Arc AC

5. Let's draw a diagonal across this rectangle.

The diagonal will be the diameter of this circle, and the length can be calculated by Pythagorean Theorem given the other respective legs of this right triangle to be 12 and 5.

( 12 )² + ( 5 )² = ( d )²,

144 + 25 = d² = 169,

diagonal = √169 = 13

πd = 13π : Circumference

5. Given :  A square that has the same area as a circle with a circumference of π,

a² = π, a = √π

4a = 4√π : Perimeter