MCQ in Plane Geometry Part 3 Answer Key | Mathematics Board Exam

MCQ in Plane Geometry Part 3 Answer Key | Mathematics Board Exam

This is the answer key for Part 3, the final set of the Plane Geometry MCQ Series on Pinoybix. If you have pushed through all three parts of this series, you have covered a substantial amount of ground on one of the consistently tested topics in the Mathematics section of the board exam.

Now is the moment to find out how solid that ground actually is.

The answers here are drawn from past board exam problems, engineering mathematics textbooks, academic journals, and other trusted references in the field. Go through every item and check your work with full honesty. Not just the ones that felt uncertain but every single one. Plane geometry has a way of hiding small errors inside solutions that look correct at first glance, and those are exactly the kinds of mistakes that cost points on the actual exam.

For every wrong answer, go back to the question and work through the correct solution completely. By Part 3, most of the problem types should feel familiar. If some of them still catch you off guard, that is important information. It means there are concepts worth revisiting before you sit for the board exam, and you still have time to do that.

Part 1 and Part 2 answer keys are available on Pinoybix if you need to go back and fill in any remaining gaps. Use every resource available to you and walk into that exam room knowing you left nothing unreviewed.

You have put in the work across all three parts. Make sure every answer in this final set is one you truly understand.

101. B. 58.9 cm²

Solution: What is the area of the sector?

102. D. 72 sq. cm.

Solution: A sector has a radius of 12 cm. if the length of its arc is 12 cm, its area is

103. B. 9/2 cm²

Solution: The perimeter of a sector is 9 cm and its radius is 3 cm. What is the area of the sector?

104. D. 409.44 m²

Solution: Find the area of the swimming pool

105. A. 2.930 cm

Solution: Find the boarder between the two circles

106. B. 16π

Solution: Find the area of the circle concentric to this circle and tangent to the given chord

107. D. 2182 ft.

Solution: Find the total lengths of the two arcs

108. B. 11.91 cm

Solution: Find the radius of a circle which is tangent to the shortest and longest side of the triangle

109. C. 14π cm²

Solution: Find the area of the largest circle that can be cut from a triangle

110. D. all of the above

111. A. 207.4 sq. cm.

Solution: Find the area of the circumscribing circle

112. C. 12.73

Solution: What is the radius of the circle circumscribing an isosceles?

113. A. 36%

Solution: If the radius of the circle is decreased by 20%, by how much is its area decreased?

114. C. 64π

Solution: What is the area of the largest circle?

115. D. 134.37 cm²

Solution: Find the area of the circumscribing circle

116. B. 500x/(πn)

Solution: The radius of the wheel in meter is

117. C. 6π

Solution: Determine the length of the track, described by the outer wheels, if the wheels are 1.5 m apart

118. B. 4084 ft²

Solution: What is the maximum area the goat can cover?

119. A. 30°

Solution: What is the value of x?

120. B. 60°

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

121. B. 17.5 feet

Solution: The vertical distance from the roadway to the cable 50 feet from the center is

122. D. 5.333

Solution: What is the area bounded by the curves y^2 = 4x and x^2 = 4y

123. A. 8

Solution: What is the area between y = 0, y =  3x^2 , x = 0, and x = 2?

124. C. 2.06 cm

Solution: Find the width of the border

125. B. 8,600.72 feet

Solution: How far away is the airplane from the control tower?

126. D. 1.76

Solution: Find the width of the border

127. B. 36%

128. C. 26.5

Solution: If the sum of the areas is 100 sq. meters, find the difference in length?

129. A. x = -4

Solution: Find the equation of the directrix of the parabola y^2 = 16x

130. C. 4:9

Solution: The ratio of the area of the rectangle to that of the square is

131. B. 7.5

Solution: What is the apothem of a rectangular polygon having an area of 225

132. C. 18 cm

Solution: Find the altitude of the triangle if its area is to be a maximum

133. C. 5

Solution: How many sides have the polygon?

134. C. S_∞ = 8 sq. m

Solution: Find the sum of the areas of all the squares formed

135. A. 80.44 sq. units

Solution: Find the area of hex decagon of trimester 32 units

136. B. 36%

Solution: Then its area will be diminished by ______.

137. C. 24.14

Solution: If the perimeter of a regular octagon is 160, find the length of its apothem

138. C. 16 and 30

Solution: The lengths of the two legs are _____ and _____ cm.

139. B. 25, 62, 62

Solution: Find the lengths of the sides of the triangle pennant

140. C. 22 ft.

Solution: Find the smallest whole number radius that the sprinkler can be adjusted to

141. B. 7√3/2

Solution: Find the height of the triangle ABC drawn to side BC

142. A. √73/2

Solution: Find the length of the median of a triangle ABC drawn to side BC

143. B. √105/2

Solution: How long is the angle bisector drawn to the side of the triangle

144. C. 20,000 ft²

Solution: What was the area of the field?

Online Question and Answer in Plane Geometry Series

Following is the list of practice exam test questions in this brand new series: