Maths-
General
Easy

Question

The largest triangle is inscribed in a semi-circle of radius 4 cm. Find the area inside the semi-circle which is not occupied by the triangle.

hintHint:


The correct answer is: 9.12 cm2


    It is given that radius of the triangle = 4 cm
    Base of the triangle = 2r = 8 cm
    Height of the triangle = r = 4 cm
    Area of the triangle = equals 1 half cross times b cross times h equals 1 half cross times 8 cross times 4
    = 16 cm2
    Area of semi-circle = 1 half pi r squared equals 1 half =   (3.14) 42
    = 25.12 cm2
    Area not occupied by the triangle
    = Area of semi-circle – Area of triangle
    = 25.12 – 16 = 9.12 cm2

    Related Questions to study

    General
    Maths-

    A rectangular paper of 22 cm by 16 cm size can be exactly wrapped to cover the curved surface of a cylinder of 16 cm height. Find the volume of the cylinder?

    A rectangular paper of 22 cm by 16 cm size can be exactly wrapped to cover the curved surface of a cylinder of 16 cm height. Find the volume of the cylinder?

    Maths-General
    General
    Maths-

    Sides of triangle are 100 m, 120 m and 140 m. Find its area

    Sides of triangle are 100 m, 120 m and 140 m. Find its area

    Maths-General
    General
    Maths-

    Find the equation of the given line . Application

    Find the equation of the given line . Application

    Maths-General
    parallel
    General
    Maths-

    Find the area of largest triangle that can be inscribed in a semi-circle of radius 9 cm.

    Find the area of largest triangle that can be inscribed in a semi-circle of radius 9 cm.

    Maths-General
    General
    Maths-

    An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of triangle.

    An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of triangle.

    Maths-General
    General
    Maths-

    A line passes through point (3, 1) and has slope = -2/3. Find its equation .Application

    A line passes through point (3, 1) and has slope = -2/3. Find its equation .Application

    Maths-General
    parallel
    General
    Maths-

    Find the area of a triangle, two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

    Find the area of a triangle, two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

    Maths-General
    General
    Maths-

    An isosceles right angled triangle has area 8 cm2 . Find the length of its hypotenuse.

    An isosceles right angled triangle has area 8 cm2 . Find the length of its hypotenuse.

    Maths-General
    General
    Maths-

    Write an equation of the line with the slope -1 and y-intercept 10.Application

    Write an equation of the line with the slope -1 and y-intercept 10.Application

    Maths-General
    parallel
    General
    Maths-

    If the length of the median of an equilateral triangle is x cm, then what is the area of triangle.

    If the length of the median of an equilateral triangle is x cm, then what is the area of triangle.

    Maths-General
    General
    Maths-

    Write an equation of the line with zero slope and passing through (3,7).Application

    Write an equation of the line with zero slope and passing through (3,7).Application

    Maths-General
    General
    Maths-

    The edges of a triangular board are 6 cm, 8 cm and 10 cm. Find the area of triangle.

    The edges of a triangular board are 6 cm, 8 cm and 10 cm. Find the area of triangle.

    Maths-General
    parallel
    General
    Maths-

    An electrical geyser in cylindrical shape, having a diameter of 3.5 cm and height of 1.2 m neglecting the thickness of its walls. Calculate its capacity in litres?

    An electrical geyser in cylindrical shape, having a diameter of 3.5 cm and height of 1.2 m neglecting the thickness of its walls. Calculate its capacity in litres?

    Maths-General
    General
    Maths-

    Write an equation of the line with undefined slope and passing through (5,11).Application

    Write an equation of the line with undefined slope and passing through (5,11).Application

    Maths-General
    General
    Maths-

    The difference between the sides of the right angles triangle containing the right angle is 7 cm, and its area is 60 cm2 . Find the perimeter of the triangle.

    The difference between the sides of the right angles triangle containing the right angle is 7 cm, and its area is 60 cm2 . Find the perimeter of the triangle.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.