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Home
SAT
Math Section
Geometry and Trigonometry

Set - 4

Premium Content

Chief Editor

Mar 27, 2024

0

Table of Contents

$The measure of angle $R$ is $\frac{2\pi}{3}$ radians. The measure of angle $T$ is $\frac{5\pi}{12}$ radians greater than the measure of angle $R$. What is the measure of angle $T$, in degrees?$
$Triangle $ABC$ is similar to triangle $DEF$, where $A$ corresponds to $D$ and $C$ corresponds to $F$. Angles $C$ and $F$ are right angles. If $\tan(A)=\sqrt{3}$ and $DF=125$, what is the length of $\overline{DE}$?$
$The equation $x^{2}+\left(y-1\right)^{2}=49$ represents circle$
$A circle has center $O$, and points $A$ and $B$ lie on the circle. The measure of arc $AB$ is $45^{\circ}$ and the length of arc $AB$ is 3 inches. What is the circumference, in inches, of the circle?$
$In the $xy$-plane, a circle with radius 5 has center ($-8$,$6$). Which of the following is an equation of the circle?<br/><br/>$$$
$Triangles _ABC_ and _DEF_ are congruent, where $A$ corresponds to $D$, and $B$ and $E$ are right angles. The measure of angle $A$ is $18^{*}$. What is the measure of angle _F_?$
$$$\begin{split}\text{$
$What is the area, in square centimeters, of a rectangle with a length of 36 centimeters and a width of 34 centimeters?$
$$(x-6)^{2}+(y+5)^{2}=16$<br/><br/>In the $xy$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{PQ}$ is a diameter of the circle, what are the coordinates of point $Q$ ?$
$The equation $\bm{x}^{2}+\left(y-2\right)^{2}=36$ represents circle$

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The measure of angle $R$ is $\frac{2\pi}{3}$ radians. The measure of angle $T$ is $\frac{5\pi}{12}$ radians greater than the measure of angle $R$. What is the measure of angle $T$, in degrees?

Difficulty: Medium

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A:

75

B:

120

C:

195

D:

390

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