Find the perimeter of a sector of a circle if its measure is 90° and radiusis 7 cm.(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm(iv) ______ number of tangents can be drawn to a circle from the point onthe circle.(A) 3 (B) 2 (C) 1 (D) 0Q.1. (B) Solve the following : 41. In trapezium ABCD, A BCDQPside AB || side PQ || side DC,AP = 15, PD = 12, QC = 14, find BQ.2. If sin q = 1161 find the values of cos q using trigonometric identity.3. Find the total surface area of a cylinder if the radius of its base is 5 cmand height is 40 cm.4. Draw seg AB of length 4.5 cm and draw its perpendicular bisector.
Question
Find the perimeter of a sector of a circle if its measure is 90° and radiusis 7 cm.(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm(iv) ______ number of tangents can be drawn to a circle from the point onthe circle.(A) 3 (B) 2 (C) 1 (D) 0Q.1. (B) Solve the following : 41. In trapezium ABCD, A BCDQPside AB || side PQ || side DC,AP = 15, PD = 12, QC = 14, find BQ.2. If sin q = 1161 find the values of cos q using trigonometric identity.3. Find the total surface area of a cylinder if the radius of its base is 5 cmand height is 40 cm.4. Draw seg AB of length 4.5 cm and draw its perpendicular bisector.
Solution 1
This seems like a series of questions. Let's answer them one by one:
-
The perimeter of a sector of a circle is given by the formula 2πr(θ/360) + 2r, where r is the radius and θ is the angle of the sector. Substituting the given values, we get 2π7(90/360) + 2*7 = 11 + 14 = 25 cm. So, the answer is (B) 25 cm.
-
Only one tangent can be drawn to a circle from a point on the circle. So, the answer is (C) 1.
-
For the trapezium question, we need more information or a diagram to solve it.
-
If sin q = 1/16, we can use the Pythagorean identity sin²q + cos²q = 1 to find cos q. Rearranging the equation, we get cos²q = 1 - sin²q = 1 - (1/16)² = 1 - 1/256. Taking the square root of both sides, we get cos q = √255/16.
-
The total surface area of a cylinder is given by the formula 2πrh + 2πr², where r is the radius and h is the height. Substituting the given values, we get 2π540 + 2π*5² = 400π + 50π = 450π cm².
-
To draw the perpendicular bisector of segment AB, first draw segment AB of length 4.5 cm. Then, using a compass, draw two arcs from points A and B that intersect above and below the segment. Draw a line through the two points of intersection. This line is the perpendicular bisector of segment AB.
Solution 2
This seems like a mix-up of instructions. Could you please clarify what you need help with?
Similar Questions
i) In ∆ABC, AB = 3 cm, BC = 2 cm and AC = 2.5 cm. ∆DEF ~ ∆ABC, EF = 4 cm.What is the perimeter of ∆DEF ?(A) 30 cm (B) 22.5 cm (C) 15 cm (D) 7.5 cm(ii) sin q. cosec q = ______(A) 1 (B) 0 (C) 12 (D) √2(iii) Find the perimeter of a sector of a circle if its measure is 90° and radiusis 7 cm.(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm(iv) ______ number of tangents can be drawn to a circle from the point onthe circle.(A) 3 (B) 2 (C) 1 (D) 0Q.1. (B) Solve the following : 41. In trapezium ABCD, A BCDQPside AB || side PQ || side DC,AP = 15, PD = 12, QC = 14, find BQ.2. If sin q = 1161 find the values of cos q using trigonometric identity.3. Find the total surface area of a cylinder if the radius of its base is 5 cmand height is 40 cm.4. Draw seg AB of length 4.5 cm and draw its perpendicular bisector.
ABCD is a trapezium where AB ⊥ BC ⊥ CD and ∠BAD is an obtuse angle. If tan ∠ADC = 0.75, CD = 7 cm and AD = 5 cm then the perimeter (in cm) of the trapezium ABCD is
If AB, AC, PQ are tangents in the figure and AB = 5 cm then perimeter of is :A 5 cm B 10 cm C 12 cm D 15 cm
ABCD is a trapezium in which AB||DC and P and Q arepoints on AD and BC respectively such that PQ||DC .If PD = 12 cm, BQ = 42 cm and QC = 18 cm, find AD.
Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.