TLA 3.1 Plane and Solid Geometry

Determine the area of a regular 6-star polygon if the inner regular hexagon has 10 cm sides.

• 441.66 cm2

• 467.64 cm2

• 519.60 cm2

• 493.62 cm2

A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentric to the large pentagon. Determine the area inside and concentric to the larger pentagon but outside of the smaller pentagon.

• 430.70 cm3

• 573.26 cm3

• 473.77 cm3

• 516.14 cm3

The area of a circle is 89.42 sq. inches. What is the length of the side of a regular hexagon inscribed in a circle?

• 5.533 in.

• 5.335 in.

• 6.335 in.

• 7.335 in.

A regular hexagon is inscribed in a circle whose diameter is 20 m. Find the area of the 6 segments of the circle formed by the sides of the hexagon.

• 36. 45 sq. m

• 63. 54 sq. m

• 45. 63 sq. m

• 54. 36 sq. m

In triangle ABC, angle C = 70o, A= 45o, AB = 40 m. What is the length of the median drawn from vertex A to side BC?

• 36.3 m

• 36.6 m

• 36.9 m

• 37.2 m

The angle of a sector is 30 degrees and the radius is 15 cm. What is the area of the sector?

• 89.5 cm2

• 58.9 cm2

• 59.8 cm2

• 85.9 cm2

What is the radius of the circle circumscribing an isosceles right triangle having an area of 162 sq. cm?

• 13.52

• 14.18

• 12.73

• 1564

Two complementary angles are in the ratio 2:1. Find the larger angle.

• 30°

• 60°

• 75°

• 15°

One side of a parallelogram is 10 m and its diagonals are 16 m and 24 m, respectively. Its area is:

• 156.8 sq. m.

• 185.6 sq. m.

• 158.7 sq. m.

• 142.3 sq. m.

The area of a rhombus is 132 square cm. if its shorter diagonal is 12 cm, the length of the longer diagonal is:

• 20 centimeter

• 21 centimeter

• 22 centimeter

• 23 centimeter