Question

Find the area of a regular heptagon whose sides measure 8 cm and the distance from the centre to the midpoint of the side is 15 cm.



Please explain in step by step​

Answer 1

Answer:

420 cm².

Step-by-step explanation:

For a regular heptagon, its area can be calculated by:

Area of heptagon = 1/2 (Perimeter of heptagon) × apothem units².

Given: Side= 8cm,

Apothem(distance from centre to the midpoint that meet at right angles) = 15cm.

Perimeter of heptagon = 7×8=56cm.

Area of heptagon = 1/2 × 56 × 15 = 28 × 15 =420 cm².