SATs Geometry & Trigonometry

Question 1

What is the area of a circle with radius 5?

Accepted Answer

25π

Answer

Area = πr² = π(5²) = 25π.

Question 2

In a right triangle, one leg is 3 and the hypotenuse is 5. What is the length of the other leg?

Accepted Answer

4

Answer

By the Pythagorean theorem, 3² + b² = 5², so b² = 16 and b = 4.

Question 3

What is the sum of the interior angles of any triangle?

Accepted Answer

180°

Answer

The interior angles of any triangle always sum to exactly 180°.

Question 4

In a right triangle, sin(θ) = 3/5. What is cos(θ)?

Accepted Answer

4/5

Answer

Using sin²θ + cos²θ = 1: (9/25) + cos²θ = 1, so cos²θ = 16/25 and cosθ = 4/5.

Question 5

What is the circumference of a circle with diameter 10?

Accepted Answer

10π

Answer

Circumference = πd = π(10) = 10π.

SATs (Standard Assessment Test) Practice Test