Q:

1. Find the area of the regular polygon to the nearest tenth.square with a radius of 13 mA) 344 m²B) 676 m²C) 169 m²D) 338 m²2. Find the area of the triangle give the answer to the nearest tenth. The drawing may not be to scale.(see picture attached)A) 47.4 cm²B) 94.8 cm²C) 7.5 cm²D) 303.1 cm²

Accepted Solution

A:
Answer: D)  338 m² A)  47.4 cm²Step-by-step explanation:You can use the same formula in each case. The area of a triangle with sides "a" and "b" separated by angle α is ...   A = (1/2)ab·sin(α)1. The area of the square is 4 times the area of the right triangle whose legs are radii of the square:   square area = 4·(1/2)·(13 m)(13 m)sin(90°) = 2·(13 m)² = 338 m²__2. The area is ...   A = (1/2)(8 cm)(12 cm)sin(81°) ≈ 47.4 cm²For this one, you don't need to work out the answer in detail. You know it will be less than, but nearly, 48 cm², which is half the product of the side lengths.