New York City SHSAT 2017

If the area of the circle centered at O is 36π and its diameter is x, then what is the circumference of a circle whose radius is ...

Note: Figure not drawn to scale. In the figure above, rectangle EFGH is inscribed in the circle with center Q and radius 13. If ...

Note: Figure not drawn to scale. Which of the following is the equation of a line that is perpendicular to the x-axis and four ...

(A) (B) 4 (C) (D) (E) 20 In the xy-plane, what is the area of a parallelogram with vertices (0, 0), (2, 0), (3, −2), and (5, −2 ...

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Answers EXERCISE i. 20 ii. 135 iii. 35 iv. 60 v. 60 v. 5, 9 (The third side must be greater than 3 and less than 13.) vii. 16 vi ...

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Answers and Explanations ...

PRACTICE SET E Since AB = BC = AC, triangle ABC is equilateral. Therefore, all of its angles are 60º. Since angle BCD, or x, is ...

The length of AC is represented by the expression 5 a − 2, so AC = 5(2) − 2 = 8. H The perimeter of a rectangle is 2(ℓ + w), whe ...

E To find the area of the frame, find the area of the frame and picture combined (the outer rectangle) and subtract from it the ...

D Circumference of a circle = 2πr, where r is the radius of the circle. So, a circle with a circumference of 36π has a radius of ...

a circle is πr^2 , so the area of circle P is π(5)^2 = 25π. B Note that the perimeter of the shaded region is in fact equal to t ...

The shaded region represents one-half the area of the circle. Find the length of the radius to determine this area. Notice that ...

E is the midpoint of AD, so AE is 4. Now that you have the lengths of both legs, you can plug into the formula: (AB)(AE) = (8)(4 ...

Because OA, OB, and OC are all radii of the same circle, triangle AOB and triangle BOC are both isosceles triangles, each theref ...

Angle AOC measures 80 + 60 = 140, choice (H). D This question tests your knowledge of two popular geometry concepts; make sure t ...

So the full equation for line l is y = −2x + 5. Plug in each answer choice to find the one that makes this equation true. Only ( ...

fraction of the large triangle’s area is shaded. All of the small triangles are congruent and have the same area. There are 10 u ...

First look at the point of intersection of those three diagonals. Angle a is opposite the 15 degree angle and angle b is opposit ...